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Complexes of curves and Teichmüller spaces
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Finite approximability of modular Teichmüller groups
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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.
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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...
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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.
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Rank of Teichmüller modular groups
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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...
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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...
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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...
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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...
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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.