Mapping class groups of medium distance Heegaard splittings

DOI10.1090/S0002-9939-2010-10545-2zbMath1229.57021arXiv0910.5190OpenAlexW2073241883MaRDI QIDQ3065734

Jesse Edward Johnson

Publication date: 6 January 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.5190

zbMATH Keywords

mapping class groupHeegaard splittingdisc complex

Mathematics Subject Classification ID

Related Items (9)

Subgroups of mapping class groups related to Heegaard splittings and bridge decompositions ⋮ Double branched covers of tunnel number one knots ⋮ Handlebody subgroups in a mapping class group ⋮ The mapping class groups of reducible Heegaard splittings of genus two ⋮ Arc complexes, sphere complexes, and Goeritz groups ⋮ Twisted book decompositions and the Goeritz groups ⋮ Distance and the Goeritz groups of bridge decompositions ⋮ Some results on Heegaard splitting ⋮ Finiteness of mapping class groups: locally large strongly irreducible Heegaard splittings

Cites Work

• Unnamed Item
• The Rubinstein-Scharlemann graphic of a 3-manifold as the discriminant set of a stable map
• The disjoint curve property and genus 2 manifolds
• Automorphisms of the complex of curves
• Comparing Heegaard splittings of non-Haken 3-manifolds
• Big Heegaard distance implies finite mapping class group
• Alternate Heegaard genus bounds distance
• On pseudo-Anosov maps which extend over two handlebodies
• MAPPING CLASS GROUPS OF HEEGAARD SPLITTINGS
• 3-manifolds as viewed from the curve complex

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