On the linearity of certain mapping class groups

Details On the linearity of certain mapping class groups On the linearity of certain mapping class groups

2000-10-27

arxiv.org/abs/math/0010267v1

Mathematics

Geometric Topology

5 pages, 1 figure, to apper in Turkish Journal of Mathematics

Scientific paper

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.

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