Skip to main content

and
  1. No Access

    Article

    Complexes of curves and Teichmüller spaces

    N. V. Ivanov in Mathematical notes of the Academy of Sciences of the USSR (1991)

  2. No Access

    Article

    Finite approximability of modular Teichmüller groups

    N. V. Ivanov in Siberian Mathematical Journal (1991)

  3. No Access

    Article

    Stretching factors of pseudo-Anosov homeomorphisms

    This paper is devoted to the proof of the following theorem: Let 1<c<∞. The number of conjugacy classes of pseudo-Anosov elements f of the group mods with stretching factor λ(f)≤c is finite.

    N. V. Ivanov in Journal of Soviet Mathematics (1990)

  4. No Access

    Article

    Teichmüller modular groups and arithmetic groups

    In this paper we give a negative answer to a question of W. Harvey about the arithmeticity of Teichmüller modular forms and we prove a number of results about the nonarithmeticity of subnormal subgroups of mod...

    N. V. Ivanov in Journal of Soviet Mathematics (1990)

  5. No Access

    Article

    Second bounded cohomology group

    The goal of the paper is to prove that the canonical seminorm on the second bounded cohomology group is always a norm. The corresponding question remains open in the higher dimensional cases.

    N. V. Ivanov in Journal of Soviet Mathematics (1990)

  6. No Access

    Article

    Rank of Teichmüller modular groups

    N. V. Ivanov in Mathematical notes of the Academy of Sciences of the USSR (1988)

  7. No Access

    Article

    Foundations of the theory of bounded cohomology

    In this paper we give a new approach to the theory of bounded cohomology. The ideas of relative homological algebra, modified so that they are based on a natural seminorm in the bounded cohomology, play a cent...

    N. V. Ivanov in Journal of Soviet Mathematics (1987)

  8. No Access

    Article

    Nielsen numbers of map**s of surfaces

    With each continuous map f of a compact polyhedron into itself there is associated a certain natural number, its Nielsen number N(f). The Nielsen number N(f) is bounded below by the number of fixed points of a...

    N. V. Ivanov in Journal of Soviet Mathematics (1984)

  9. No Access

    Article

    Improvement of the Nash-Tognoli theorem

    Let ℳ be a smooth closed manifold in ℝn. The Nash-Tognoli theorem says that M can be arbitrarily well approximated (in the Cr-topology with r < ∞) in ℝn by a nonsingular real algebraic set under the condition tha...

    N. V. Ivanov in Journal of Soviet Mathematics (1984)

  10. No Access

    Article

    Homotopy of spaces of diffeomorphisms of some three-dimensional manifolds

    The goal of the paper is to calculate the homotopy type of the space of diffeomorphisms for most orientable three-dimensional manifolds with finite fundamental group containing the Klein bottle. The fundamenta...

    N. V. Ivanov in Journal of Soviet Mathematics (1984)

  11. No Access

    Article

    Diffeomorphism groups of Waldhausen manifolds

    In this paper the homotopy type of the group of diffeomorphism of sufficiently large irreducible three-dimensional manifolds is described and the space of incompressible surfaces in such manifolds is studied.

    N. V. Ivanov in Journal of Soviet Mathematics (1979)