October 2023 The first homology group with twisted coefficients for the mapping class group of a non-orientable surface of genus three with two boundary components
Piotr Pawlak, Michał Stukow
Author Affiliations +
Kodai Math. J. 46(3): 243-262 (October 2023). DOI: 10.2996/kmj46301

Abstract

We determine the first homology group with coefficients in $H_1(N;{\mathbf{Z}})$ for the mapping class group of a non-orientable surface $N$ of genus three with two boundary components.

Acknowledgment

The author wishes to thank the referee for his/her helpful suggestions.

Citation

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Piotr Pawlak. Michał Stukow. "The first homology group with twisted coefficients for the mapping class group of a non-orientable surface of genus three with two boundary components." Kodai Math. J. 46 (3) 243 - 262, October 2023. https://doi.org/10.2996/kmj46301

Information

Received: 3 August 2022; Revised: 6 February 2023; Published: October 2023
First available in Project Euclid: 3 October 2023

MathSciNet: MR4649391
Digital Object Identifier: 10.2996/kmj46301

Subjects:
Primary: 57K20 , 57K20
Secondary: 20J06 , 22F50 , 55N25

Keywords: homology of groups , mapping class group , non-orientable surface

Rights: Copyright © 2023 Tokyo Institute of Technology, Department of Mathematics

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Vol.46 • No. 3 • October 2023
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