On the linearity of certain mapping class groups

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S. Bigelow proved that the braid groups are linear. That is, there is a faithful representation of the braid group into the general linear group of some field. Using this, we deduce from previously known results that the mapping class group of a sphere with punctures and hyperelliptic mapping class groups are linear. In particular, the mapping class group of a closed orientable surface of genus 2 is linear.
5 pages, 1 figure, to apper in Turkish Journal of Mathematics

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Geometric Topology, Group Theory, 57M60

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http://salesiana.dossiersoluciones.com/handle/123456789/60219

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0010267
 http://arxiv.org/abs/math/0010267

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arXiv