Mapping class groups of Heegaard splittings of surface bundles

2012/01/12 by Jesse Johnson, Johnson, Jesse
Mathematics · #57M #57N10 #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57M #msc:57N10

paper · pdf · doi:10.48550/arxiv.1201.2628

6 pages, 1 figure. Minor corrections made in versions 2 and 3

openalex publication_date 2012/01/12 · arxiv created 2012/04/06 · arxiv updated 2012/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Every surface bundle with genus g fiber has a canonical Heegaard splitting of genus 2g+1. We classify the mapping class groups of such Heegaard splittings in the case when the surface bundle has a sufficiently complicated monodromy map.

Citations

• Heegaard splittings and open books
• One-sided and two-sided Heegaard splittings
• The geometry of the disk complex

Related

• Surface bundles with genus two Heegaard splittings
• Mapping class groups of Heegaard splittings
• Surface bundles versus Heegaard splittings
• The mapping class groups of reducible Heegaard splittings of genus two
• Mapping class groups of medium distance Heegaard splittings