On stable commutator length in hyperelliptic mapping class groups
Geometric Topology
2016-01-20 v1 Group Theory
Abstract
We give a new upper bound on the stable commutator length of Dehn twists in hyperelliptic mapping class groups, and determine the stable commutator length of some elements. We also calculate values and the defects of homogeneous quasimorphisms derived from \omega-signatures, and show that they are linearly independent in the mapping class groups of pointed 2-spheres when the number of points is small.
Cite
@article{arxiv.1212.6117,
title = {On stable commutator length in hyperelliptic mapping class groups},
author = {Danny Calegari and Naoyuki Monden and Masatoshi Sato},
journal= {arXiv preprint arXiv:1212.6117},
year = {2016}
}
Comments
27 pages, 11 figures