Genus three Goeritz groups of connected sums of two lens spaces

Abstract

We prove that the mapping class groups of the genus 3 Heegaard splittings of the connected sum of two lens spaces are finitely generated, and the corresponding reducing sphere complexes are all connected.

arXiv comment15 pages, 11 figures

References in corpus (6)

• Genus two Goeritz groups of lens spaces
• Heegaard splittings of 3--manifolds (Haifa 2005): Problems
• The Powell Conjecture and reducing sphere complexes
• A Strong Haken's Theorem
• Strong Haken via Sphere Complexes
• Strong Haken via Thin Position