Article ID Journal Published Year Pages File Type
4659767 Topology and its Applications 2012 7 Pages PDF
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