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Uspekhi Mat. Nauk, 1997, Volume 52, Issue 5(317), Pages 147–174 (Mi umn888)  

This article is cited in 15 scientific papers (total in 17 papers)

Classification of sufficiently large three-dimensional manifolds

S. V. Matveev

Chelyabinsk State University

DOI: https://doi.org/10.4213/rm888

Full text: PDF file (469 kB)
References: PDF file   HTML file

English version:
Russian Mathematical Surveys, 1997, 52:5, 1029–1055

Bibliographic databases:

UDC: 515.1
MSC: 57N10, 57N16
Received: 19.06.1997

Citation: S. V. Matveev, “Classification of sufficiently large three-dimensional manifolds”, Uspekhi Mat. Nauk, 52:5(317) (1997), 147–174; Russian Math. Surveys, 52:5 (1997), 1029–1055

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Bytsenko, AA, “Torsion on hyperbolic manifolds and the semiclassical limit for Chern–Simons theory”, Modern Physics Letters A, 13:30 (1998), 2453  crossref  mathscinet  adsnasa  isi  elib  scopus  scopus
    2. S. V. Duzhin, S. V. Chmutov, “Uzly i ikh invarianty”, Matem. prosv., ser. 3, 3, MTsNMO, M., 1999, 59–93  mathnet
    3. S. V. Matveev, “Algorithmic Classification of 3-Manifolds: Problems and Results”, Proc. Steklov Inst. Math., 225 (1999), 250–260  mathnet  mathscinet  zmath
    4. Bytsenko, AA, “Semiclassical limit for Chern–Simons theory on compact hyperbolic spaces”, JETP Letters, 70:2 (1999), 67  crossref  mathscinet  adsnasa  isi  elib  scopus  scopus
    5. Bytsenko, AA, “Anomalies and analytic torsion on hyperbolic manifolds”, Journal of Mathematical Physics, 40:8 (1999), 4119  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
    6. Hass, J, “The computational complexity of knot and link problems”, Journal of the Acm, 46:2 (1999), 185  crossref  mathscinet  zmath  isi  scopus  scopus
    7. I. A. Dynnikov, “Finitely Presented Groups and Semigroups in Knot Theory”, Proc. Steklov Inst. Math., 231 (2000), 220–237  mathnet  mathscinet  zmath
    8. Matveev, SV, “Computer classification of 3-manifolds”, Russian Journal of Mathematical Physics, 7:3 (2000), 319  mathscinet  isi  elib
    9. Sossinsky, AB, “Simply connected 3-manifolds and undecidable problems in group theory”, Russian Journal of Mathematical Physics, 7:3 (2000), 357  mathscinet  zmath  isi
    10. M.C.B. Abdalla, A.A. Bytsenko, M.E.X. Guimarães, “Complex Topological Invariants of Three-Hyperbolic Manifolds”, Journal of Dynamical Systems and Geometric Theories, 4:1 (2006), 1  crossref  mathscinet
    11. Murakami, M, “Fast algorithms for computing Jones polynomials of certain links”, Theoretical Computer Science, 374:1–3 (2007), 1  crossref  mathscinet  zmath  isi  scopus  scopus
    12. Bytsenko, AA, “Expository remarks on three-dimensional gravity and hyperbolic invariants”, Classical and Quantum Gravity, 25:22 (2008), 228001  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    13. Matousek J., Tancer M., Wagner U., “Hardness of embedding simplicial complexes in R-d”, J Eur Math Soc (JEMS), 13:2 (2011), 259–295  crossref  mathscinet  zmath  isi  scopus  scopus
    14. V. Z. Grines, E. V. Zhuzhoma, O. V. Pochinka, “Sistemy Morsa–Smeila i topologicheskaya struktura nesuschikh mnogoobrazii”, Trudy Krymskoi osennei matematicheskoi shkoly-simpoziuma, SMFN, 61, RUDN, M., 2016, 5–40  mathnet
    15. Matousek J., Sedgwick E., Tancer M., Wagner U., “Embeddability in the 3-Sphere Is Decidable”, J. ACM, 65:1 (2018)  crossref  mathscinet  zmath  isi  scopus  scopus
    16. V. M. Buchstaber, V. A. Vassiliev, A. Yu. Vesnin, I. A. Dynnikov, Yu. G. Reshetnyak, A. B. Sossinsky, I. A. Taimanov, V. G. Turaev, A. T. Fomenko, E. A. Fominykh, A. V. Chernavsky, “Sergei Vladimirovich Matveev (on his 70th birthday)”, Russian Math. Surveys, 73:4 (2018), 737–746  mathnet  crossref  crossref  adsnasa  isi  elib
    17. V. Z. Grines, E. Ya. Gurevich, E. V. Zhuzhoma, O. V. Pochinka, “Classification of Morse–Smale systems and topological structure of the underlying manifolds”, Russian Math. Surveys, 74:1 (2019), 37–110  mathnet  crossref  crossref  adsnasa  isi  elib
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