Involution generators of the big mapping class group

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Date

2024-01-01

Author

Altunöz, Tülin
Pamuk, Mehmetcik
Ylldlz, Oǧuz

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Let S = S(n) denote the infinite-type surface with n ends, n ? N, accumulated by genus. For n = 6, we show that the mapping class group of S is topologically generated by five involutions. When n = 3, it is topologically generated by six involutions.

Subject Keywords

Big mapping class groups, generating sets, infinite surfaces, involutions

URI

https://hdl.handle.net/11511/110012

Journal

Journal of Topology and Analysis

DOI

https://doi.org/10.1142/s1793525324500171

Collections

Department of Mathematics, Article

Citation Formats

T. Altunöz, M. Pamuk, and O. Ylldlz, “Involution generators of the big mapping class group,” Journal of Topology and Analysis, pp. 1–18, 2024, Accessed: 00, 2024. [Online]. Available: https://hdl.handle.net/11511/110012.