Mapping class groups of once-stabilized Heegaard splittings

2011/08/26 by Jesse Johnson, Johnson, Jesse · 2 citations
Mathematics · #57N10 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1108.5302

openalex publication_date 2011/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that if a Heegaard splitting is the result of stabilizing a high distance Heegaard splitting exactly once then its mapping class group is finitely generated.

Cited by

• Arc complexes, sphere complexes and Goeritz groups
• Disk complexes and genus two Heegaard splittings for non-prime 3-manifolds

Related

• Finiteness of mapping class groups and Heegaard distance
• Mapping class groups of medium distance Heegaard splittings
• Mapping class groups of Heegaard splittings
• One-sided and two-sided Heegaard splittings
• Flipping and stabilizing Heegaard splittings