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Lapin, Sergei Valerievich

Statistics Math-Net.Ru
Total publications: 25
Scientific articles: 25

Number of views:
This page:8095
Abstract pages:65179
Full texts:16872
References:1910
Associate professor
Candidate of physico-mathematical sciences (1988)
Speciality: 01.01.04 (Geometry and topology)
Birth date: 17.03.1960
E-mail:
Keywords: homology groops, homotopy groops, spectral sequences, homotopy invariant structures on chain complexes, homotopy invariance structure, simplicial module.
   
Main publications:
  • Krasauskas R. L., Lapin S. V., Solovev Yu. P. Diedralnye gomologii i kogomologii. Osnovnye ponyatiya i konstruktsii // Matem. sbornik, 1987, 133(1), 25–48.
  • Lapin S. V. Gruppy bordizmov $E_\infty$-koalgebr Puankare i simmetricheskie L-gruppy // Matem. sbornik, 1995, 186(7), 97–132.
  • Lapin S. V. Differentsialnye vozmuscheniya i $D_\infty$-differentsialnye moduli // Matem. sbornik, 2001, 192(11), 55–76.
  • Lapin S. V. $D_\infty$-differentsialnye $A_\infty$-algebry i spektralnye posledovatelnosti // Matem. sbornik, 2002, 193(1), 119–142.
  • Lapin S. V. $(DA)_\infty$-moduli nad $(DA)_\infty$-algebrami i spektralnye posledovatelnosti // Izv. RAN, ser. matem., 2002, 66(3), 103–130.
  • Lapin S.V. $D_\infty$-differentsialnye $E_\infty$-algebry i spektralnye posledovatelnosti rassloenii // Matem. sbornik., 2007, 198(10), 3–30

https://www.mathnet.ru/eng/person8334
List of publications on Google Scholar

Publications in Math-Net.Ru Citations
2021
1. S. V. Lapin, “Homotopy invariance of dihedral homology of involutive $A_\infty$-algebras”, Algebra i Analiz, 33:6 (2021),  78–106  mathnet; St. Petersburg Math. J., 33:6 (2022), 949–969
2. S. V. Lapin, “Dihedral modules with $\infty$-simplicial faces and dihedral homology of involutive $A_\infty$-algebras over rings”, Algebra i Analiz, 33:3 (2021),  85–110  mathnet; St. Petersburg Math. J., 33:3 (2022), 491–509 2
2017
3. S. V. Lapin, “Cyclic Modules with $\infty$-Simplicial Faces and the Cyclic Homology of $A_\infty$-Algebras”, Mat. Zametki, 102:6 (2017),  874–895  mathnet  elib; Math. Notes, 102:6 (2017), 806–823  isi  scopus 5
2016
4. S. V. Lapin, “Homotopy Properties of $\infty$-Simplicial Coalgebras and Homotopy Unital Supplemented $A_\infty$-Algebras”, Mat. Zametki, 99:1 (2016),  55–77  mathnet  mathscinet  zmath  elib; Math. Notes, 99:1 (2016), 63–81  isi  elib  scopus 5
2015
5. S. V. Lapin, “Chain Realization of Differential Modules with $\infty$-Simplicial Faces and the $B$-Construction over $A_\infty$-Algebras”, Mat. Zametki, 98:1 (2015),  101–124  mathnet  mathscinet  elib; Math. Notes, 98:1 (2015), 111–129  isi  scopus 4
2014
6. S. V. Lapin, “Differential Lie Modules over Curved Colored Coalgebras and $\infty$-Simplicial Modules”, Mat. Zametki, 96:5 (2014),  709–731  mathnet  mathscinet  zmath  elib; Math. Notes, 96:5 (2014), 698–715  isi  elib  scopus 8
2013
7. S. V. Lapin, “Homotopy Simplicial Faces and the Homology of Realizations of Simplicial Topological Spaces”, Mat. Zametki, 94:5 (2013),  661–681  mathnet  mathscinet  zmath  elib; Math. Notes, 94:5 (2013), 619–635  isi  scopus 7
8. S. V. Lapin, “Homotopy Properties of Differential Lie Modules over Curved Coalgebras and Koszul Duality”, Mat. Zametki, 94:3 (2013),  354–372  mathnet  mathscinet  zmath  elib; Math. Notes, 94:3 (2013), 335–350  isi  elib  scopus 6
2011
9. S. V. Lapin, “Extension of the Multiplication Operation in $E_\infty$-Algebras to an $A_\infty$-Morphism of $E_\infty$-Algebras and Cartan Objects in the Category of May Algebras”, Mat. Zametki, 89:5 (2011),  719–737  mathnet  mathscinet; Math. Notes, 89:5 (2011), 672–688  isi  scopus 1
2008
10. S. V. Lapin, “Multiplicative $A_\infty$-structure in terms of spectral sequences of fibrations”, Fundam. Prikl. Mat., 14:6 (2008),  141–175  mathnet  mathscinet; J. Math. Sci., 164:1 (2010), 95–118  scopus 7
2007
11. S. V. Lapin, “$D_\infty$-differential $E_\infty$-algebras and spectral sequences of $D_\infty$-differential modules”, Fundam. Prikl. Mat., 13:8 (2007),  105–125  mathnet  mathscinet  zmath  elib; J. Math. Sci., 159:6 (2009), 819–832  scopus 2
12. S. V. Lapin, “$D_\infty$-differential $E_\infty$-algebras and spectral sequences of fibrations”, Mat. Sb., 198:10 (2007),  3–30  mathnet  mathscinet  zmath  elib; Sb. Math., 198:10 (2007), 1379–1406  isi  elib  scopus 9
2005
13. S. V. Lapin, “$D_\infty$-differential $E_\infty$-algebras and multiplicative spectral sequences”, Mat. Sb., 196:11 (2005),  75–108  mathnet  mathscinet  zmath  elib; Sb. Math., 196:11 (2005), 1627–1658  isi  scopus 5
2002
14. S. V. Lapin, “$(DA)_\infty$-modules over $(DA)_\infty$-algebras and spectral sequences”, Izv. RAN. Ser. Mat., 66:3 (2002),  103–130  mathnet  mathscinet  zmath  elib; Izv. Math., 66:3 (2002), 543–568  scopus 8
15. S. V. Lapin, “$D_\infty$-differential $A_\infty$-algebras and spectral sequences”, Mat. Sb., 193:1 (2002),  119–142  mathnet  mathscinet  zmath; Sb. Math., 193:1 (2002), 119–142  isi  scopus 13
2001
16. S. V. Lapin, “L-theory for local systems of homotopy coalgebras and the exact sequence for surgery”, Fundam. Prikl. Mat., 7:3 (2001),  797–828  mathnet  mathscinet  zmath
17. S. V. Lapin, “Differential perturbations and $D_\infty$-differential modules”, Mat. Sb., 192:11 (2001),  55–76  mathnet  mathscinet  zmath  elib; Sb. Math., 192:11 (2001), 1639–1659  isi  scopus 32
1995
18. S. V. Lapin, “Bordism groups of Poincare $E_\infty$-coalgebras and symmetric $L$-groups”, Mat. Sb., 186:7 (1995),  97–132  mathnet  mathscinet  zmath; Sb. Math., 186:7 (1995), 1023–1055  isi
1990
19. S. V. Lapin, “Normalization of reflexive and dihedral modules”, Mat. Zametki, 48:1 (1990),  61–67  mathnet  mathscinet  zmath; Math. Notes, 48:1 (1990), 661–665  isi 1
1987
20. S. V. Lapin, “Dihedral homologies $A[x]$ and $A[x,x^{-1}]$ and other algebras”, Mat. Zametki, 41:2 (1987),  238–247  mathnet  mathscinet  zmath; Math. Notes, 41:2 (1987), 137–142  isi
21. R. L. Krasauskas, S. V. Lapin, Yu. P. Solov'ev, “Dihedral homology and cohomology. Basic notions and constructions”, Mat. Sb. (N.S.), 133(175):1(5) (1987),  25–48  mathnet  mathscinet  zmath; Math. USSR-Sb., 61:1 (1988), 23–47 19
22. S. V. Lapin, “Dihedral homology of a tensor algebra and of skew polynomial rings”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1987, no. 6,  65–67  mathnet  mathscinet  zmath
23. R. L. Krasauskas, S. V. Lapin, Yu. P. Solov'ev, “Dihedral homology and cohomology”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1987, no. 4,  28–32  mathnet  mathscinet  zmath 2
1981
24. S. V. Lapin, “Relations between the moduli of continuity of functions in different symmetric spaces, and some imbedding theorems”, Dokl. Akad. Nauk SSSR, 257:5 (1981),  1060–1064  mathnet  mathscinet  zmath 1
1977
25. S. V. Lapin, “Theorem on a convergence condition in the spaces”, Mat. Zametki, 21:5 (1977),  615–626  mathnet  mathscinet  zmath; Math. Notes, 21:5 (1977), 346–352

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