arXiv:1106.0422 Abstract | arXiv Analytics

arXiv:1106.0422 [math.GT]Abstract References Reviews Resources

On upper bounds on stable commutator lengths in mapping class groups

Published 2011-06-02, updated 2011-06-03Version 2

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.

Comments: 9 pages, 4 figures, to appear in the special issue of the Topology and its Applications "Proceedings of the V-JAMEX" ", references were corrected

Categories: math.GT, math.GR

Subjects: 57M60, 57R17, 20J06, 20F38

Keywords: stable commutator lengths, upper bounds, dehn twists, hyperelliptic mapping class groups, lower bounds

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