Connectivity of complexes of separating curves
type: Item
instance of: scholarly article
title: Connectivity of complexes of separating curves
zbMATH Open document ID: 1271.57054
DOI: 10.4171/GGD/189
author: Eduard Looijenga
published in: Groups, Geometry, and Dynamics
publication date: 2013-07-24T00:00:00Z
full work available at URL: https://arxiv.org/abs/1001.0823
review text: Summary: We prove that the separating curve complex of a closed orientable surface of genus \(g\) is \((g-3)\)-connected. We also obtain a connectivity property for a separating curve complex of the open surface that is obtained by removing a finite set from a closed one, where it is assumed that the removed set is endowed with a partition and that the separating curves respect that partition. These connectivity statements have implications for the algebraic topology of the moduli space of curves.
Mathematics Subject Classification ID: 57N05
Mathematics Subject Classification ID: 55U15
zbMATH DE Number: 6190860
zbMATH Keywords: separating curve complex
zbMATH Keywords: moduli space of curves
MaRDI profile type: Publication
arXiv ID: 1001.0823
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description: scientific article