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April 2022 An infinite presentation for the mapping class group of a non-orientable surface with boundary
Ryoma Kobayashi, Genki Omori
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Osaka J. Math. 59(2): 269-314 (April 2022).

Abstract

We give an infinite presentation for the mapping class group of a non-orientable surface with boundary components. The presentation is a generalization of the presentation given by the second author [16]. We also give a finite presentation for the mapping class group to obtain the infinite presentation.

Acknowledgments

The authors would like to express their gratitude to Hisaaki Endo, for his encouragement and helpful advices. The first author was supported by JSPS KAKENHI Grant Number JP19K14542. The second author was supported by JSPS KAKENHI Grant Number JP19K23409.

Citation

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Ryoma Kobayashi. Genki Omori. "An infinite presentation for the mapping class group of a non-orientable surface with boundary." Osaka J. Math. 59 (2) 269 - 314, April 2022.

Information

Received: 9 October 2018; Revised: 21 December 2020; Published: April 2022
First available in Project Euclid: 7 April 2022

Subjects:
Primary: 57S05
Secondary: 20F05 , 57M05 , 57M07

Rights: Copyright © 2022 Osaka University and Osaka City University, Departments of Mathematics

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Vol.59 • No. 2 • April 2022
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