Genus three Goeritz groups of connected sums of two lens spaces
arXiv:2411.15471 · doi:10.2140/pjm.2025.338.231
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.
15 pages, 11 figures