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July 2017 A twisted first homology group of the handlebody mapping class group
Tomohiko Ishida, Masatoshi Sato
Osaka J. Math. 54(3): 587-619 (July 2017).

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 $g\ge2$.

Citation

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Tomohiko Ishida. Masatoshi Sato. "A twisted first homology group of the handlebody mapping class group." Osaka J. Math. 54 (3) 587 - 619, July 2017.

Information

Published: July 2017
First available in Project Euclid: 7 August 2017

zbMATH: 1384.57002
MathSciNet: MR3685593

Subjects:
Primary: 55R40
Secondary: 20F28, 57R20

Rights: Copyright © 2017 Osaka University and Osaka City University, Departments of Mathematics

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Vol.54 • No. 3 • July 2017
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