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  1. No Access

    Article

    Classification of Links of Small Complexity in the Thickened Torus

    We present a complete table of links in the thickened torus T2 × I of complexity at most 4. The table is constructed by the following method. First, we enumerate all abstract quadrivalent graphs with at most four...

    A. A. Akimova, S. V. Matveev, V. V. Tarkaev in Proceedings of the Steklov Institute of Ma… (2018)

  2. No Access

    Article

    Tabulating knots in the thickened Klein bottle

    We tabulate all knots in the oriented thickened Klein bottle having diagrams with three crossings and less. For proving that the knots are distinct, we use a generalization of the Kauffman bracket polynomial i...

    S. V. Matveev, L. R. Nabeeva in Siberian Mathematical Journal (2016)

  3. No Access

    Article

    Ivan Ivanovich Eremin

    V. I. Berdyshev, V. V. Vasin, S. V. Matveev… in Proceedings of the Steklov Institute of Ma… (2015)

  4. No Access

    Article

    Dijkgraaf-Witten invariants over ℤ2 for 3-manifolds

    S. V. Matveev, V. G. Turaev in Doklady Mathematics (2015)

  5. No Access

    Article

    Classification of Knots of Small Complexity in Thickened Tori

    We present a table of knots in a thickened torus T × I the diagrams of which have less than five crossing points. The knots are constructed by a three-step process: enumeration of regular graphs of degree 4, e...

    A. A. Akimova, S. V. Matveev in Journal of Mathematical Sciences (2014)

  6. No Access

    Article

    The structure of 3-manifolds of complexity zero

    S. V. Matveev, D. O. Nikolaev in Doklady Mathematics (2014)

  7. No Access

    Article

    On the 75th birthday of Academician of the Russian Academy of Sciences Yurii Sergeevich Osipov

    N. N. Krasovskii, I. I. Eremin, A. M. Il’in… in Proceedings of the Steklov Institute of Ma… (2012)

  8. No Access

    Article

    Reduction of knots in thickened surfaces and virtual knots

    F. G. Korablev, S. V. Matveev in Doklady Mathematics (2011)

  9. No Access

    Article

    Decomposition of homologically trivial knots in F × I

    S. V. Matveev in Doklady Mathematics (2010)

  10. No Access

    Article

    Two-sided complexity bounds for Löbell manifolds

    A. Yu. Vesnin, S. V. Matveev, C. Petronio in Doklady Mathematics (2007)

  11. No Access

    Article

    Construction and Properties of the t-Invariant

    Special spine theory is used for constructing a new invariant of compact 3-manifolds: the t-invariant. The behavior of the invariant under (boundary) connected sum is investigated. One of the Turaev―Viro invarian...

    S. V. Matveev, M. A. Ovchinnikov, M. V. Sokolov in Journal of Mathematical Sciences (2003)

  12. No Access

    Article

    On a simple invariant of Turaev-Viro type

    For 3-manifolds, we define an invariant t(M)=a+bε, where a,b are integers and \(\varepsilon = (1 \pm \sqrt 5 )/2\) ....

    S. V. Matveev, M. V. Sokolov in Journal of Mathematical Sciences (1999)

  13. No Access

    Article

    Three-manifolds. Classical results

    S. V. Matveev in Journal of Mathematical Sciences (1995)

  14. No Access

    Article

    Additivity of complexity and Haken's method in the topology of three-dimensional manifolds

    S. V. Matveev in Ukrainian Mathematical Journal (1989)

  15. No Access

    Article

    Morse-type theory for integrable Hamiltonian systems with tame integrals

    S. V. Matveev, A. T. Fomenko in Mathematical notes of the Academy of Sciences of the USSR (1988)

  16. No Access

    Article

    Zeeman's conjecture for unthickened special polyhedra is equivalent to the Andrews-Curtis conjecture

    S. V. Matveev in Siberian Mathematical Journal (1987)

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    Article

    Generalized surgery of three-dimensional manifolds and representations of homology spheres

    S. V. Matveev in Mathematical notes of the Academy of Sciences of the USSR (1987)

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    Article

    Structure of the second homotopy group of the union of two spaces

    In this paper we give a representation of the two-dimensional homotopy group of the union of two spaces as a suitable quotient-group and some applications of it.

    S. V. Matveev in Journal of Soviet Mathematics (1987)

  19. No Access

    Article

    Relations in the homeotropy group of a complete pretzel and the group of plat braids

    A. L. Zil'berg, S. V. Matveev in Mathematical notes of the Academy of Sciences of the USSR (1981)