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Finite rigid sets and homologically nontrivial spheres in the curve complex of a surface

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Publication:5496334
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DOI10.1142/S179352531550003XzbMath1308.57009arXiv1311.7646MaRDI QIDQ5496334

Joan S. Birman, Nathan Broaddus, William W. Menasco

Publication date: 30 January 2015

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.7646


zbMATH Keywords

surfacemapping class groupcurve complex


Mathematics Subject Classification ID

General low-dimensional topology (57M99)


Related Items (5)

Finite rigid sets and the separating curve complex ⋮ EXHAUSTION OF THE CURVE GRAPH VIA RIGID EXPANSIONS ⋮ COLORING CURVES ON SURFACES ⋮ The disk complex and topologically minimal surfaces in the 3-sphere ⋮ Normal subgroups of mapping class groups and the metaconjecture of Ivanov




Cites Work

  • Unnamed Item
  • Homology of the curve complex and the Steinberg module of the mapping class group
  • On triangulations of surfaces
  • The virtual cohomological dimension of the mapping class group of an orientable surface
  • Automorphisms of the complex of curves
  • Coxeter complexes and graph-associahedra
  • Trees and mapping class groups
  • FINITE RIGID SETS IN CURVE COMPLEXES




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