The abelianization of a symmetric mapping class group

2007/05/15 by Masatoshi Sato, Sato, Masatoshi · 1 citation
Mathematics · #14H37 #14H40 #32G15 #55R40 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:14H37 #msc:14H40 #msc:32G15 #msc:55R40

paper · pdf · doi:10.48550/arxiv.0705.2078

23 pages, 5 figures

arxiv created 2007/05/28 · arxiv updated 2009/12/01

Abstract

We determine the abelianization of the symmetric mapping class group of a double unbranched cover using the Riemann theta constant, Schottky theta constant, and the theta multiplier. We also give lower bounds of the abelianizations of some finite index subgroups of the mapping class group.

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• Abelianization of Symmetric Mapping Class Groups

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