The abelianization of a symmetric mapping class group

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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.
23 pages, 5 figures

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Geometric Topology, 55R40; 32G15; 14H37; 14H40

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http://salesiana.dossiersoluciones.com/handle/123456789/131497

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.2078
 http://arxiv.org/abs/0705.2078

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arXiv