Matveev, Sergei Vladimirovich

Total publications: 105 (96)
in MathSciNet: 83 (82)
in zbMATH: 65 (65)
in Web of Science: 45 (42)
in Scopus: 48 (47)
Cited articles: 46
Citations in Math-Net.Ru: 419
Citations in Web of Science: 449
Citations in Scopus: 532
Presentations: 3

Number of views:
This page:6473
Abstract pages:14079
Full texts:4154
Member of the Russian Academy of Sciences
Doctor of physico-mathematical sciences (1988)
Speciality: 01.01.04 (Geometry and topology)
Birth date: 5.12.1947
Keywords: manifold; 3-manifold; algorithmic recognition; complexity theory, classification.


The theory of elementary moves on special polyhedra is elaborated. It is proved that the restriction of the Zeeman conjecture onto special polyhedra is equivalent to the union of the Poincare conjecture and the Andrews–Curtis conjecture. Complexity theory of 3-manifolds is constructed and all the manifolds up to complexity 8 are classified. A closed hyperbolic 3-manifold of the smallest complexity is constructed. It has the smallest known volume. A complete proof of the algorithmic classification theorem for sufficiently large 3-manifolds is written.


Graduated from Faculty of Mathematics and Mechanics of Moscow State University in 1970. Ph.D. thesis was awarded in 1970. D.Sci. thesis was awarded in 1988. Have more than 50 published papers.

Corresponding member of Petrov academy of sciences and arts.

Main publications:
  • Matveev S., Rolfsen D. Spines and embeddings of $n$-manifolds // J. London Math. Soc. (2). V. 59. 1999. P. 359–368.
  • Matveev S. Computer classification of 3-manifolds // Russian Journal of Mathematical Physics. V. 7, no. 3. 2000. P. 319–329.

Full list of publications:
| scientific publications | by years | by types | by times cited in WoS | by times cited in Scopus | common list |

1. S. V. Matveev, V. V. Tarkaev, “Recognition and tabulation of $3$-manifolds up to complexity $13$”, Chebyshevskii sb., 21:2 (2020), 290–300  mathnet  crossref;

2. S. V. Matveev, “An example of the decomposition non-uniqueness for a 3-dimensional geometric object”, Chelyab. Fiz.-Mat. Zh., 4:3 (2019), 265–275  mathnet  crossref  zmath  scopus

3. A. Yu. Vesnin, S. V. Matveev, E. A. Fominykh, “New aspects of complexity theory for 3-manifolds”, Russian Math. Surveys, 73:4 (2018), 615–660  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus (cited: 1)

4. S. King, S. Matveev, V. Tarkaev, V. Turaev, “Dijkgraaf-Witten $Z_2$-invariants for Seifert manifolds”, Journal of Knot Theory and Its Ramifications, 26:1 (2017), 1750006 , 7 pp.  crossref  mathscinet  zmath  isi  scopus

5. A. A. Akimova, S. V. Matveev, V. V. Tarkaev, “Classification of links of small complexity in a thickened torus”, Proc. Steklov Inst. Math. (Suppl.), 303, suppl. 1 (2018), 12–24  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  elib  scopus (cited: 3)

6. J. Glock, C. Hog-Angeloni, S. Matveev, “2-Complexes and 3-Manifolds”, Advances in Two-Dimensional Homotopy and Combinatorial Group Theory, London Mathematical Society Lecture Note Series, eds. W. Metzler, S. Rosebrock, Cambridge University Press, Cambridge, 2017, 103–127  crossref  mathscinet  scopus
7. A. Chernavski, D. Fuchs, S. Gusein-Zade, Yu. Ilyashenko, O. Karpenkov, A. Kirillov, S. Lando, S. Matveev, M. Skopenkov, V. Tikhomirov, M. Tsfasman, V. Vassiliev, “Alexei Bronislavovich Sossinsky turns 80”, Mosc. Math. J., 17:3 (2017), 555–558  mathnet  crossref  isi
8. S. M. Voronin, S. F. Dolbeeva, O. N. Dementiev, A. A. Ershov, M. G. Lepchinski, S. V. Matveev, N. B. Medvedeva, D. K. Potapov, E. A. Rozhdestvenskaya, E. A. Sbrodova, I. M. Sokolinskaya, A. A. Soloviev, V. I. Ukhobotov, V. E. Fedorov, Chelyab. Fiz.-Mat. Zh., 2:4 (2017), 383–387  mathnet  elib
9. S. F. Dolbeeva, V. N. Pavlenko, S. V. Matveev, O. N. Dementiev, A. V. Mel'nikov, E. A. Sbrodova, A. A. Soloviev, V. I. Ukhobotov, V. E. Fedorov, E. A. Fominykh, A. A. Ershov, “Arlen Mikhaylovich Ilin. Towards 85th birthday”, Chelyab. Fiz.-Mat. Zh., 2:1 (2017), 5–9  mathnet  elib

10. S. V. Matveev, L. R. Nabeeva, “Tabulating knots in the thickened Klein bottle”, Siberian Mathematical Journal, 57:3 (2016), 542–548  mathnet  crossref  crossref  mathscinet  isi (cited: 3)  elib  elib  scopus (cited: 5)

11. S. V. Matveev, V. G. Turaev, “Dijkgraaf-Witten Invariants over $Z_2$ for 3-Manifolds”, Doklady Mathematics, 91:1 (2015), 9–11  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib  elib  scopus (cited: 2)
12. S. V. Matveev, “Mnogomernye mnogoobraziya i ob'edineniya vokselei”, Trudy Chetvertoi Mezhdunarodnoi nauchnoi konferentsii “Informatsionnye tekhnologii i sistemy” (Bannoe, 25 fevralya–1 marta 2015 g.), eds. Yu.S. Popkov, A.V. Melnikov, Chelyabinskii gosudarstvennyi universitet, Chelyabinsk, 2015, 19  elib

13. A. A. Akimova, S. V. Matveev, “Classification of genus 1 virtual knots having at most five classical crossings”, Journal of Knot Theory and Its Ramifications, 23:6 (2014), 1450031 , 19 pp.  crossref  mathscinet  zmath  isi (cited: 9)  elib  scopus (cited: 17)
14. S. V. Matveev, D. O. Nikolaev, “The structure of 3-manifolds of complexity zero”, Doklady Mathematics, 89:2 (2014), 143–145  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib  elib  scopus (cited: 2)
15. S. V. Matveev, “Zadanie trekhmernykh ob'ektov v pamyati kompyutera”, Trudy Tretei mezhdunarodnoi nauchnoi konferentsii Informatsionnye tekhnologii i sistemy (Bannoe, 26 fevralya–2 marta 2014 g.), eds. Yu.S. Popkov, A.V. Melnikov, Chelyabinskii gosudarstvennyi universitet, Chelyabinsk, 2014, 38–39  elib

16. V. I. Berdyshev, V. V. Vasin, S. V. Matveev, A. A. Makhnev, Yu. N. Subbotin, N. N. Subbotina, V. N. Ushakov, M. Yu. Khachai, A. G. Chentsov, “Ivan Ivanovich Eremin”, Proceedings of the Steklov Institute of Mathematics, 289:Supplement 1 (2015), 1–8  mathnet  crossref  mathscinet  isi  elib

17. S. V. Matveev, A. V. Chernavskii, “O teoreme L.V. Keldysh i mnogokanalnoi svyazi”, Trudy Vtoroi mezhdunarodnoi nauchnoi konferentsii “Informatsionnye tekhnologii i sistemy” (Bannoe, 27 fevralya–3 marta 2013 g.), eds. A.V. Melnikov, Chelyabinskii gosudarstvennyi universitet, Chelyabinsk, 2013, 9–10  elib

18. S. V. Matveev, “Roots and decompositions of three-dimensional topological objects”, Russian Mathematical Surveys, 67:3 (2012), 459–507  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib  elib  scopus (cited: 2)
19. S. V. Matveev, “Moves on special spines”, Vestnik Chelyabinskogo gosudarstvennogo universiteta, 2012, no. 15, 129–133  mathnet  mathscinet  elib

20. A. A. Akimova, S. V. Matveev, “Classification of Knots of Small Complexity in Thickened Tori”, Journal of Mathematical Sciences, 202:1 (2014), 1–12  mathnet  crossref  mathscinet  elib  elib  scopus (cited: 4)

21. S. V. Matveev, “Prime decompositions of knots in $T^{2}\times I$”, Topology and its Applications, 159:7 (2012), 1820–1824  crossref  mathscinet  zmath  isi (cited: 7)  elib  scopus (cited: 6)
22. S. V. Matveev, “Kompyuternoe predstavlenie trekhmernykh mnogoobrazii i vokselnye izobrazheniya”, Materialy Pervoi Mezhdunarodnoi konferentsii Informatsionnye tekhnologii i sistemy (Bannoe, 28 fevralya–4 marta 2012 g.), eds. V. A. Melnikov, Chelyabinskii gosudarstvennyi universitet, Chelyabinsk, 2012, 16–19  elib
23. P. Korablev, S. Matveev, “Five lectures on 3-manifold topology”, Strasbourg Master Class on Geometry, IRMA Lectures in Mathematics and Theoretical Physics, 18, eds. A. Papadopoulos, European Mathematical Society, Zurich, 2012, 255–284  crossref  mathscinet  zmath
24. S. V. Matveev, “Kompyuternoe tabulirovanie trekhmernykh mnogoobrazii”, First Yaroslavl Summer School on Discrete and Computational Geometry. Lecture Notes, Delaunay Library, 1, Yaroslavl State University, Yaroslavl, 2012, 147–163

25. S. Matveev, V. Turaev, “A semigroup of theta-curves in 3-manifolds”, Moscow Mathematical Journal, 11:4 (2011), 805–814  mathnet (cited: 6)  crossref  mathscinet  isi (cited: 6)  elib  scopus (cited: 6)
26. A. Yu. Vesnin, S. V. Matveev, E. A. Fominykh, “Complexity of 3-dimensional manifolds: exact values and estimates”, Siberian Electronic Mathematical Reports, 8 (2011), 341–364  mathnet  mathscinet  elib
27. F. G. Korablev, S. V. Matveev, “Reduction of knots in thickened surfaces and virtual knots”, Doklady Mathematics, 83:2 (2011), 262–264  crossref  mathscinet  zmath  isi (cited: 5)  elib  elib  scopus (cited: 4)
28. S. V. Matveev, “On prime decompositions of knots in thickened surfaces”, Bulletin of Kemerovo State University, 2011, 67–72  mathscinet  elib

29. N. N. Krasovskii, I. I. Eremin, A. M. Il'in, A. V. Kryazhimskii, A. B. Kurzhanskii, V. I. Berdyshev, V. V. Vasin, A. A. Makhnev, S. V. Matveev, Yu. N. Subbotin, A. G. Chentsov, V. N. Ushakov, V. V. Kabanov, V. I. Maksimov, “On the 75th birthday of Academician of the Russian Academy of Sciences Yurii Sergeevich Osipov”, Proceedings of the Steklov Institute of Mathematics, 276:Supplement 1 (2012), S1–S3  mathnet  crossref  elib  scopus

30. S. V. Matveev, “Decomposition of homologically trivial knots in $F\times I$”, Doklady Mathematics, 82:1 (2010), 511–513  crossref  zmath  isi (cited: 3)  elib  elib  scopus (cited: 3)

31. S. Matveev, M. Polyak, “A simple formula for the Casson-Walker invariant”, Journal of Knot Theory and Its Ramifications, 18:6 (2009), 841–864  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 3)
32. S. Matveev, C. Petronio, A. Vesnin, “Two-sided asymptotic bounds for the complexity of some closed hyperbolic three-manifolds”, Journal of the Australian Mathematical Society, 86:2 (2009), 205–219  crossref  mathscinet  zmath  isi (cited: 21)  elib  scopus (cited: 20)
33. F. G. Korablëv, S. V. Matveev, V. V. Tarkaev, “O trekhmernykh mnogoobraziyakh roda 2”, Vestnik Chelyabinskogo gosudarstvennogo universiteta. Matematika, mekhanika, informatika, 2009, no. 20, 105–121  mathscinet  zmath  elib
34. S. V. Matveev, “Virtual 3-manifolds”, Siberian Electronic Mathematical Reports, 6 (2009), 518–521  mathnet  mathscinet  zmath  elib
35. F. G. Korablev, S. V. Matveev, V. V. Tarkaev, Vestnik Chelyabinsk. Gos. Univ., 2009, no. 11, 105–121  mathnet

36. C. Hog-Angeloni, S. Matveev, “Roots in 3-manifold topology”, Geometry & Topology Monographs, 14 (2008), 295–319  crossref  mathscinet  zmath  elib

37. A. Yu. Vesnin, S. V. Matveev, C. Petronio, “Two-sided complexity bounds for Löbell manifolds”, Doklady Mathematics, 76:2 (2007), 689–691  mathnet  crossref  mathscinet  zmath  isi (cited: 6)  elib  elib  scopus (cited: 3)
38. S. V. Matveev, Algoritmicheskaya topologiya i klassifikatsiya trekhmernykh mnogoobrazii, Moskovskii tsentr nepreryvnogo matematicheskogo obrazovaniya, Moskva, 2007 , 456 pp.  elib
39. S. Matveev, Algorithmic Topology and Classification of 3-Manifolds, Algorithms and Computation in Mathematics, 9, Second Edition, Springer, Berlin, Heidelberg, 2007 , xiv+492 pp.  crossref  mathscinet  zmath  elib
40. A. V. Chernavskii, Yu. S. Ilyashenko, S. K. Lando, S. V. Matveev, M. A. Tsfasman, V. A. Vassiliev, “Alexei Bronislavovich Sossinsky”, Moscow Mathematical Journal, 7:4 (2007), 763–764  mathnet  isi

41. C. Hog-Angeloni, S. Matveev, A. Mednykh, W. Metzler, “Workshop on geometry and topology of three-dimensional manifolds”, Sibirskie elektronnye matematicheskie izvestiya, 3 (2006), A.1–A.3  mathnet  elib

42. S. V. Matveev, “Tabulation of three-dimensional manifolds”, Russian Mathematical Surveys, 60:4 (2005), 673–698  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 19)  elib  elib  scopus (cited: 16)
43. S. V. Matveev, “Recognition and tabulation of 3-manifolds”, Doklady Mathematics, 71:1 (2005), 20–22  mathnet  mathscinet  isi (cited: 11)  elib  elib  scopus (cited: 6)

44. S. Matveev, A. Perfilyev, “Periodicity of the degrees of maps between seifert manifolds”, Doklady Mathematics, 69:2 (2004), 225–227  mathnet  mathscinet  isi  elib  elib  scopus

45. S. Matveev, M. Polyak, “Finite-type invariants of cubic complexes”, Acta Applicandae Mathematicae, 75:1-3 (2003), 125–132  crossref  mathscinet  zmath  isi (cited: 6)  elib  scopus (cited: 6)
46. S. Matveev, Algorithmic Topology and Classification of 3-Manifolds, Algorithms and Computation in Mathematics, 9, Springer, Berlin, Heidelberg, 2003 , xii+478 pp.  crossref  mathscinet  zmath  elib

47. S. V. Matveev, Lectures on Algebraic Topology, EMS Series of Lectures in Mathematics, 3, European Mathematical Society, Zurich, 2006 , viii+99 pp.  crossref  mathscinet  mathscinet  zmath  elib

48. S. V. Matveev, V. V. Tarkaev, “Kompyuternaya klassifikatsiya rasshirennykh diagramm khegora”, Vestnik Chelyabinskogo universiteta. Seriya 3. Matematika, mekhanika, informatika, 2(8) (2003), 146–152  mathscinet  elib
49. S. V. Matveev, V. V. Tarkaev, Vestnik Chelyabinsk. Gos. Univ., 2003, no. 8, 146–152  mathnet
50. T. B. Bigil'deeva, S. V. Matveev, A. F. Shorikov, Vestnik Chelyabinsk. Gos. Univ., 2003, no. 8, 5–12  mathnet

51. S. V. Matveev, E. A. Fominykh, “Normal surfaces in 3-manifolds”, Doklady Mathematics, 65:3 (2002), 429–432  mathnet  mathscinet  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus (cited: 1)
52. S. Matveev, M. Polyak, “Cubic complexes and finite type invariants”, Geometry & Topology Monographs, 4 (2002), 215–233  crossref  mathscinet  zmath  elib

53. S. V. Matveev, E. L. Pervova, “Lower bounds on the complexity of three-dimensional manifolds”, Doklady Mathematics, 63:3 (2001), 314–315  mathnet  mathscinet  mathscinet  zmath  isi (cited: 4)  elib  elib  scopus (cited: 4)
54. S. V. Matveev, “Algorithmic classification of 3-manifolds and knots”, Gazette des Mathematiciens, 89 (2001), 49–61  mathscinet  zmath
55. C. Hayat-Legrand, S. Matveev, H. Zieschang, “Computer calculation of the degree of maps into the Poincare homology sphere”, Experimental Mathematics, 10:4 (2001), 497–508  crossref  mathscinet  zmath  isi (cited: 6)  elib  scopus (cited: 5)
56. S. V. Matveev, “On invariants of Turaev-Viro type”, Atti del Seminario matematico e fisico dell'Università di Modena, 49 (2001), 155–166  mathscinet  zmath

57. S. V. Matveev, “Complexity of three-dimensional manifolds”, Proceedings of the Conference Geometry and Applications" dedicated to the seventieth birthday of V. A. Toponogov, Siberian Advances in Mathematics, 13, no. 3, 2003  mathscinet  zmath  zmath

58. S. Matveev, “Computer Presentation of 3-Manifolds”, Digital and Image Geometry, Advanced Lectures, Lecture Notes in Computer Science, 2243, Springer, Berlin, Heidelberg, 2001, 59–74  crossref  mathscinet  zmath

59. S. V. Matveev, “Computer classification of 3-manifolds”, Russian Journal of Mathematical Physics, 7:3 (2000), 319–329  mathscinet  zmath  isi (cited: 2)  elib  scopus (cited: 2)
60. S. Matveev, A. Oshemkov, A. Tuzhilin, “On a topological obstruction for constructing hyperbolic structures”, Proceedings of the International Conference “Low-dimensional topology and combinatorial group theory” (Chelyabinsk, 31 july – 7 august 1999), Institute of Mathematics NAS of Ukraine, Kiev, 2000, 227–233

61. S. V. Matveev, M. A. Ovchinnikov, M. V. Sokolov, “Construction and properties of the $t$-invariant”, Journal of Mathematical Sciences, 113:6 (2003), 849–855  mathnet  crossref  mathscinet  zmath

62. S. V. Matveev, “Algorithmic Classification of 3-Manifolds: Problems and Results”, Proceedings of the Steklov Institute of Mathematics, 225 (1999), 250–260  mathnet  mathscinet  zmath
63. S. Matveev, D. Rolfsen, “Spines and embeddings of $n$-manifolds”, Journal of the London Mathematical Society, 59:1 (1999), 359–368  crossref  mathscinet  zmath  isi  elib  scopus

64. S. V. Matveev, “Generalized graph manifolds and their effective recognition”, Sbornik: Mathematics, 189:10 (1998), 1517–1531  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  elib  scopus (cited: 2)
65. S. V. Matveev, “Computer recognition of three-manifolds”, Experimental Mathematics, 7:2 (1998), 153–161  crossref  mathscinet  zmath  isi (cited: 13)  elib  scopus (cited: 13)
66. S. V. Matveev, A. T. Fomenko, Algoritmicheskie i kompyuternye metody v trekhmernoi topologii, Kibernetika – neogranichennye vozmozhnosti i vozmozhnye ogranicheniya, vtoroe izdanie, Nauka, Moskva, 1998 , 302 pp.  elib

67. S. V. Matveev, “Classification of sufficiently large three-dimensional manifolds”, Russian Mathematical Surveys, 52:5 (1997), 1029–1055  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  elib  scopus (cited: 6)
68. S. V. Matveev, “On the recognition problem for Haken 3-manifolds”, The proceedings of the Workshop on Differential Geometry and Topology (Palermo (Italy), June 3–9, 1996), Supplemento ai Rendiconti del Circolo Matematico di Palermo, 49, no. 2, 1997, 131–148  mathscinet  zmath
69. A. T. Fomenko, S. V. Matveev, Algorithmic and Computer Methods for Three-Manifolds, Mathematics and Its Applications, 425, Springer Science+Business Media, Dordrecht, 1997 , xii+337 pp.  crossref  mathscinet  elib

70. S. V. Matveev, M. V. Sokolov, “On a simple invariant of Turaev-Viro type”, Journal of Mathematical Sciences, 94:2 (1999), 1226–1229  mathnet  crossref  mathscinet  zmath  scopus (cited: 3)

71. S. V. Matveev, “An algorithm for the recognition of 3-spheres (according to Thompson)”, Sbornik: Mathematics, 186:5 (1995), 695–710  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib

72. S. Matveev, M. Polyak, “On a tangle presentation of the mapping class groups of surfaces”, Contemporary Mathematics, 164 (1994), 219–229  crossref  mathscinet  zmath
73. S. Matveev, M. Polyak, “A geometrical presentation of the surface mapping class group and surgery”, Communications in Mathematical Physics, 160:3 (1994), 537–550  crossref  mathscinet  zmath  adsnasa  isi (cited: 14)  elib  scopus (cited: 14)
74. D. Gillman, S. Matveev, D. Rolfsen, “Collapsing and reconstruction of manifolds”, Contemporary Mathematics, 164 (1994), 35–39  crossref  mathscinet  zmath
75. S. V. Matveev, T. Nowik, “On 3-Manifolds having the same Turaev-Viro invariants”, Russian Journal of Mathematical Physics, 2:3 (1994), 317–324  mathscinet  zmath  elib

76. S. V. Matveev, “Three-manifolds. Classical results”, Journal of Mathematical Sciences, 74:1 (1995), 834–860  crossref  mathscinet  zmath  scopus

77. S. Matveev, D. Rolfsen, “Zeeman's collapsing conjecture”, Two-dimensional homotopy and combinatorial group theory, London Mathematical Society Lecture Note Series, 197, Cambridge University Press, 1993, 335–364  crossref  mathscinet  zmath

78. S. V. Matveev, A. T. Fomenko, Algoritmicheskie i kompyuternye metody v trekhmernoi topologii, Moskovskii gosudarstvennyi universitet im. M.V. Lomonosova, Moskva, 1991 , 301 pp.  mathscinet  elib

79. A. V. Bolsinov, S. V. Matveev, A. T. Fomenko, “Topological classification of integrable Hamiltonian systems with two degrees of freedom. List of systems of small complexity”, Russian Mathematical Surveys, 45:2 (1990), 59–94  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 42)  scopus (cited: 45)
80. S. V. Matveev, “Complexity theory of three-dimensional manifolds”, Acta Applicandae Mathematicae, 19:2 (1990), 101–130  crossref  mathscinet  zmath  isi (cited: 91)  elib  scopus (cited: 88)

81. S. V. Matveev, “Additivity of complexity and Hakens method in the topology of three-dimensional manifolds”, Ukrainian Mathematical Journal, 41:9 (1989), 1063–1068  crossref  mathscinet  zmath  elib  scopus (cited: 1)

82. S. V. Matveev, A. T. Fomenko, “Morse-type theory for integrable Hamiltonian systems with tame integrals”, Mathematical notes of the Academy of Sciences of the USSR, 43:5 (1988), 382–386  mathnet  crossref  mathscinet  zmath  isi (cited: 8)  elib  elib  scopus (cited: 5)
83. S. V. Matveev, A. T. Fomenko, “Constant energy surfaces of Hamiltonian systems, enumeration of three-dimensional manifolds in increasing order of complexity, and computation of volumes of closed hyperbolic manifolds”, Russian Mathematical Surveys, 43:1 (1988), 3–24  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 68)  elib  elib  scopus (cited: 47)

84. S. V. Matveev, A. T. Fomenko, V. V. Sharko, “Round Morse functions and isoenergy surfaces of integrable Hamiltonian systems”, Mathematics of the USSR-Sbornik, 63:2 (1989), 319–336  mathnet  crossref  mathscinet  zmath  isi  scopus (cited: 8)
85. S. V. Matveev, “Complexity of three-dimensional manifolds and their enumeration in the order of increasing complexity”, Soviet Mathematics. Doklady, 38:1 (1989), 75–78  mathnet  mathscinet  zmath  isi  elib

86. S. V. Matveev, “Slozhnost geometricheskikh mnogoobrazii”, Sbornik nauchnykh trudov “Nekotorye voprosy analiza i differentsialnoi topologii”, Institut matematiki Akademii nauk USSR, 1988, 48–55  mathscinet
87. S. V. Matveev, Teoriya slozhnosti trekhmernykh mnogoobrazii, Preprint № 88.13, Institut matematiki Akademii nauk USSR, Kiev, 1988 , 32 pp.  mathscinet
88. S. V. Matveev, Spetsialnye spainy i teoriya slozhnosti 3-mnogoobrazii, dissertatsiya na soiskanie uchenoi stepeni doktora fiziko-matematicheskikh nauk, MGU, Moskva, 1988 , 300 pp.
89. S. V. Matveev, “Transformations of special spines and the Zeeman conjecture”, Mathematics of the USSR-Izvestiya, 31:2 (1988), 423–434  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 15)  elib  elib  scopus (cited: 34)

90. S. V. Matveev, “Generalized surgery of three-dimensional manifolds and representations of homology spheres”, Mathematical notes of the Academy of Sciences of the USSR, 42:2 (1987), 651–656  mathnet  crossref  mathscinet  zmath  isi (cited: 45)  elib  scopus (cited: 30)
91. S. V. Matveev, “Universal 3-deformations of special polyhedra”, Russian Mathematical Surveys, 42:3 (1987), 226–227  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)  elib  elib  scopus (cited: 8)
92. S. V. Matveev, “Zeeman's conjecture for unthickened special polyhedra is equivalent to the Andrews-Curtis conjecture”, Siberian Mathematical Journal, 28:6 (1987), 917–928  mathnet  crossref  mathscinet  mathscinet  zmath  isi (cited: 2)  isi (cited: 2)  elib  elib  scopus (cited: 1)
93. S. V. Matveev, “Structure of the second homotopy group of the union of two spaces”, Journal of Soviet Mathematics, 37:3 (1987), 1135–1141  mathnet  crossref  mathscinet  zmath  elib  scopus

94. S. V. Matveev, Algebraicheskaya topologiya: metodicheskie ukazaniya, Chelyabinskii gosudarstvennyi universitet, Chelyabinsk, 1984 , 24 pp.

95. S. V. Matveev, “Raspravlenie konturov na ploskosti”, Kvant, 1983, no. 4, 22–28

96. S. V. Matveev, “Distributive groupoids in knot theory”, Mathematics of the USSR-Sbornik, 47:1 (1984), 73–83  mathnet  crossref  mathscinet  zmath  isi (cited: 17)  elib  scopus (cited: 95)

97. A. L. Zil'berg, S. V. Matveev, “Relations in the homeotropy group of a complete pretzel and the group of plat braids”, Mathematical notes of the Academy of Sciences of the USSR, 29:4 (1981), 290–295  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

98. S. V. Matveev, “Trekhmernye mnogoobraziya, skonstruirovannye na zamknutykh tsepochkakh”, Prikladnaya matematika. Tematicheskii sbornik nauchnykh trudov, 252, Chelyabinskii politekhnicheskii institut, Chelyabinsk, 1980, 79–82

99. S. V. Matveev, “Odin sposob zadaniya 3-mnogoobrazii”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika., 1975, no. 3, 11–20  mathscinet  zmath  elib
100. A. V. Chernavskii, S. V. Matveev, Sovremennaya topologiya mnogoobrazii, Voronezhskii gosudarstvennyi universitet, Voronezh, 1975 , 70 pp.

101. S. V. Matveev, V. V. Savvateev, “Trekhmernye mnogoobraziya, imeyuschie prostye spetsialnye ostovy”, Colloquium Mathematicum, 32:1 (1974), 83–97  crossref  mathscinet  zmath  elib
102. A. V. Chernavskii,S. V. Matveev, Osnovy topologii mnogoobrazii, Nauchnye trudy, 192, Kubanskii gosudarstvennyi universitet, Krasnodar, 1974 , 176 pp.  mathscinet

103. S. V. Matveev, “Special spines of piecewise linear manifolds”, Mathematics of the USSR-Sbornik, 21:2 (1973), 279–291  mathnet  crossref  mathscinet  zmath  elib  elib  scopus (cited: 11)
104. S. V. Matveev, Spetsialnye spainy kusochno-lineinykh mnogoobrazii, dissertatsiya na soiskanie uchenoi stepeni kandidata fiziko-matematicheskikh nauk, MGU, Moskva, 1973 , 88 pp.

105. S. V. Matveev, “Approksimatsiya vlozhenii mnogoobrazii lokalno ploskimi v korazmernosti bolshe dvukh”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika., 1972, no. 6, 53–57  mathscinet  zmath  elib

Presentations in Math-Net.Ru
1. New aspects of complexity theory for $3$-manifolds
Sergei V. Matveev
International conference "Algebraic Topology, Combinatorics, and Mathematical Physics" on occasion of Victor Buchstaber's 75th birthday
May 26, 2018 10:00   
S. V. Matveev
Steklov Mathematical Institute Seminar
October 20, 2016 16:00   
3. Decompositions of global knots
S. V. Matveev
P.K. Rashevskii seminar on tensor and vector analysis with applications in geometry, mechanics and physics
October 8, 2012 18:30

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