MAPPING CLASS GROUPS OF HEEGAARD SPLITTINGS

DOI10.1142/S0218216513500181zbMath1278.57029arXivmath/0701119OpenAlexW2067275621MaRDI QIDQ5300096

Joachim Hyam Rubinstein, Jesse Edward Johnson

Publication date: 24 June 2013

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701119

zbMATH Keywords

mapping class groupHeegaard splitting

Mathematics Subject Classification ID

Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (7)

Big Heegaard distance implies finite mapping class group ⋮ On the group action of \(Mod(M,F)\) on the disk complex ⋮ Multisections of 4-manifolds ⋮ Reducible mapping class of the canonical Heegaard splitting in a mapping torus ⋮ Comparing 4-manifolds in the pants complex via trisections ⋮ Mapping class groups of medium distance Heegaard splittings ⋮ Twisted book decompositions and the Goeritz groups

Cites Work

• Heegaard surfaces and measured laminations. I: the Waldhausen conjecture
• On unknotting tunnels for knots
• Equivariant Ricci flow with surgery and applications to finite group actions on geometric 3-manifolds
• Algorithmic compression of surface automorphisms
• Die Abbildungen der Brezelfläche und der Vollbrezel vom Geschlecht 2
• Big Heegaard distance implies finite mapping class group
• Non-isotopic Heegaard splittings of Seifert fibered spaces. With an appendix by R.Weidmann
• Alternate Heegaard genus bounds distance
• On pseudo-Anosov maps which extend over two handlebodies
• Hurwitz Groups and Finite Group Actions on Hyperbolic 3-Manifolds
• INVOLUTIONS OF KNOTS THAT FIX UNKNOTTING TUNNELS
• The Nielsen realization problem
• 3-manifolds as viewed from the curve complex
• Automorphisms of three-dimensional handlebodies

This page was built for publication: MAPPING CLASS GROUPS OF HEEGAARD SPLITTINGS