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Elmas Irmak

  1. Injective Simplicial Maps of the Complexes of Curves of Nonorientable Surfaces.

    Wed, 03/21/2012 - 15:01 — SomNambul
    Authors: Elmas Irmak
    Subjects: Geometric Topology
    Abstract

    Let $N$ be a compact, connected, nonorientable surface of genus $g$ with $n$
    boundary components, and $\mathcal{C}(N)$ be the complex of curves of $N$.
    Suppose that $g + n \leq 3$ or $g + n \geq 5$. If $\lambda : \mathcal{C}(N)
    \rightarrow \mathcal{C}(N)$ is an injective simplicial map, then $\lambda$ is
    induced by a homeomorphism of $N$.

  2. Superinjective Simplicial Maps of the Complexes of Curves on Nonorientable Surfaces.

    Fri, 08/21/2009 - 19:51 — SomNambul
    Authors: Elmas Irmak
    Subjects: Geometric Topology
    Abstract

    We prove that each superinjective simplicial map of the complex of curves of
    a compact, connected, nonorientable surface is induced by a homeomorphism of
    the surface, if g+n is at most 3 or g+n is at least 5, where g is the genus of
    the surface and n is the number of the boundary components.

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