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On stable commutator length in hyperelliptic mapping class groups (1212.6117v1)
Published 26 Dec 2012 in math.GT and math.GR
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.
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