Involution Generators of the Big Mapping Class Group

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.

arXiv comment14 pages, 9 figures. Comments welcome!. arXiv admin note: text overlap with arXiv:2301.08780 by other authors