Involution Generators of the Big Mapping Class Group
Geometric Topology
2023-08-10 v2
Abstract
Let S = S(n) denote the infinite surface with n ends, n \in N, accumulated by genus. For n \geq 6, we show that the mapping class group of S is topologically generated by five involutions. When n \geq 3, it is topologically generated by six involutions.
Cite
@article{arxiv.2306.06374,
title = {Involution Generators of the Big Mapping Class Group},
author = {Tulin Altunoz and Mehmetcik Pamuk and Oguz Yildiz},
journal= {arXiv preprint arXiv:2306.06374},
year = {2023}
}
Comments
14 pages, 9 figures. Comments welcome!. arXiv admin note: text overlap with arXiv:2301.08780 by other authors