Finite Rigid Sets in Curve Complexes of Non-Orientable Surfaces

Sabahattİn Ilbira; Mustafa Korkmaz

Finite Rigid Sets in Curve Complexes of Non-Orientable Surfaces

Geometric Topology 2019-03-05 v2

Authors: Sabahattİn Ilbira , Mustafa Korkmaz

Abstract

A rigid set in a curve complex of a surface is a subcomplex such that every locally injective simplicial map from the set into the curve complex is induced by a homeomorphism of the surface. In this paper, we find finite rigid sets in the curve complexes of connected non-orientable surfaces of genus $g$ with $n$ holes for $g+n \neq 4$ .

Keywords

surfaces and embeddings mapping class groups mapping class groups of surfaces

Cite

@article{arxiv.1810.07964,
  title  = {Finite Rigid Sets in Curve Complexes of Non-Orientable Surfaces},
  author = {Sabahattİn Ilbira and Mustafa Korkmaz},
  journal= {arXiv preprint arXiv:1810.07964},
  year   = {2019}
}

Comments

Improved writing, typos corrected, figures redrawn

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