On upper bounds on stable commutator lengths in mapping class groups

Details On upper bounds on stable commutator lengths in mapping class groups On upper bounds on stable commutator lengths in mapping class groups

2011-06-02

arxiv.org/abs/1106.0422v2

Mathematics

Geometric Topology

9 pages, 4 figures, to appear in the special issue of the Topology and its Applications "Proceedings of the V-JAMEX" ", refere

Scientific paper

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.

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