Factoring periodic maps into Dehn twists
NK Dhanwani, AK Nair, K Rajeevsarathy - Journal of Pure and Applied …, 2023 - Elsevier
NK Dhanwani, AK Nair, K Rajeevsarathy
Journal of Pure and Applied Algebra, 2023•ElsevierLet Mod (S g) be the mapping class group of the closed orientable surface S g of genus g≥
1. In this paper, we develop various methods for factoring periodic mapping classes into
Dehn twists, up to conjugacy. As applications, we develop methods for factoring certain roots
of Dehn twists as words in Dehn twists. We will also show the existence of conjugates of
periodic maps of order 4 g and 4 g+ 2, for g≥ 2, whose product is pseudo-Anosov.
1. In this paper, we develop various methods for factoring periodic mapping classes into
Dehn twists, up to conjugacy. As applications, we develop methods for factoring certain roots
of Dehn twists as words in Dehn twists. We will also show the existence of conjugates of
periodic maps of order 4 g and 4 g+ 2, for g≥ 2, whose product is pseudo-Anosov.
Let Mod (S g) be the mapping class group of the closed orientable surface S g of genus g≥ 1. In this paper, we develop various methods for factoring periodic mapping classes into Dehn twists, up to conjugacy. As applications, we develop methods for factoring certain roots of Dehn twists as words in Dehn twists. We will also show the existence of conjugates of periodic maps of order 4 g and 4 g+ 2, for g≥ 2, whose product is pseudo-Anosov.
Elsevier
以上显示的是最相近的搜索结果。 查看全部搜索结果