The abelianization of a symmetric mapping class group

Details The abelianization of a symmetric mapping class group The abelianization of a symmetric mapping class group

2007-05-15

arxiv.org/abs/0705.2078v2

Mathematics

Geometric Topology

23 pages, 5 figures

Scientific paper

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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