Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659767 | Topology and its Applications | 2012 | 7 Pages |
Abstract
We give new upper bounds on the stable commutator lengths of Dehn twists in mapping class groups and new lower bounds on the stable commutator lengths of Dehn twists in hyperelliptic mapping class groups. In particular, we show that the stable commutator lengths of Dehn twists about a nonseparating and a separating curve on an oriented closed surface of genus 2 are not equal to each other.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology