We're sorry but this page doesn't work properly without JavaScript enabled. Please enable it to continue.
Feedback

Spin mapping class groups and curve graphs

Formal Metadata

Title
Spin mapping class groups and curve graphs
Title of Series
Number of Parts
15
Author
Contributors
License
CC Attribution - NonCommercial - NoDerivatives 2.0 Generic:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
Identifiers
Publisher
Release Date
Language

Content Metadata

Subject Area
Genre
Abstract
A spin structure on a closed surface S of genus g≥2 is a covering of the unit tangent bundle of S witch restricts to a standard covering of the fiber. Such a spin structure has a parity, even or add. The spin mapping class is the stabilizer of such a spin structure in the mapping class group of S. We use a subgraph of the curve graph to construct an explicit generating set of the spin mapping class group consisting of Dehn twists about a system of 2g−1 simple closed curves.