A finite presentation for the mapping class group of a nonorientable surface with Dehn twists and one crosscap slide as generators
Abstract
Let Ng,s denote the nonorientable surface of genus g with s boundary components. Recently Paris and Szepietowski obtained an explicit finite presentation for the mapping class group M(Ng,s) of the surface Ng,s, where s∈0,1 and g+s>3. Following this work we obtain a finite presentation for the mapping class group M(Ng,s) with generators being Dehn twists and one crosscap slide.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.