A twisted first homology group of the handlebody mapping class group

Tomohiko Ishida; Masatoshi Sato

A twisted first homology group of the handlebody mapping class group

Geometric Topology 2015-02-26 v1 Algebraic Topology Group Theory

Authors: Tomohiko Ishida , Masatoshi Sato

Abstract

Let $H_{g}$ be a 3-dimensional handlebody of genus $g$ . We determine the twisted first homology group of the mapping class group of $H_{g}$ with coefficients in the first integral homology group of the boundary surface $\partial H_{g}$ for $g\geq 2$ .

Keywords

handlebody mapping class group twisted first homology integral homology boundary surface genus 3-dimensional handlebody

Cite

@article{arxiv.1502.07048,
  title  = {A twisted first homology group of the handlebody mapping class group},
  author = {Tomohiko Ishida and Masatoshi Sato},
  journal= {arXiv preprint arXiv:1502.07048},
  year   = {2015}
}

Comments

27 pages, 4 figures

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