Exhausting Curve Complexes by Finite Superrigid Sets on Nonorientable Surfaces

Elmas Irmak

Exhausting Curve Complexes by Finite Superrigid Sets on Nonorientable Surfaces

Geometric Topology 2019-03-20 v1

Authors: Elmas Irmak

Abstract

Let $N$ be a compact, connected, nonorientable surface of genus $g$ with $n$ boundary components. Let $\mathcal{C}(N)$ be the curve complex of $N$ . We prove that if $(g, n) \neq (1,2)$ and $g + n \neq 4$ , then there is an exhaustion of $\mathcal{C}(N)$ by a sequence of finite superrigid sets.

Keywords

algebraic curves mapping class groups of surfaces mapping class groups

Cite

@article{arxiv.1903.04926,
  title  = {Exhausting Curve Complexes by Finite Superrigid Sets on Nonorientable Surfaces},
  author = {Elmas Irmak},
  journal= {arXiv preprint arXiv:1903.04926},
  year   = {2019}
}

Comments

28 pages, 15 figures. arXiv admin note: text overlap with arXiv:1707.09937

Related papers

View all related →