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arxiv: 1810.07964 · v2 · pith:RJKXL3BMnew · submitted 2018-10-18 · 🧮 math.GT

Finite Rigid Sets in Curve Complexes of Non-Orientable Surfaces

Sabahatt\.In Ilbira , Mustafa Korkmaz This is my paper
classification 🧮 math.GT
keywords curverigidcomplexcomplexesfinitenon-orientablesetssurface
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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 $g+n \neq 4$.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. A note on the curve complex of the 3-holed projective plane

    math.GT 2019-07 accept novelty 5.0

    The curve complex of the 3-holed projective plane admits an exhaustion by finite rigid sets, its simplicial automorphism group is isomorphic to the mapping class group, and it is quasi-isometric to a simplicial tree.