Genus three Goeritz groups of connected sums of two lens spaces

Fuente: arXiv
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Main Authors: Chen, Hao, Zou, YanQing
Format: Preprint
Published: 2024
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_version_ 1866914006600515584
author Chen, Hao
Zou, YanQing
author_facet Chen, Hao
Zou, YanQing
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_15471
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Genus three Goeritz groups of connected sums of two lens spaces
Chen, Hao
Zou, YanQing
Geometric Topology
57K30, 57K20, 20F05
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.
title Genus three Goeritz groups of connected sums of two lens spaces
topic Geometric Topology
57K30, 57K20, 20F05
url https://arxiv.org/abs/2411.15471