On the linearity of certain mapping class groups

Mustafa Korkmaz

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On the linearity of certain mapping class groups

Mustafa Korkmaz

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Abstract

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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BibTeX RIS

Mustafa Korkmaz. 2000-10-27. On the linearity of certain mapping class groups. https://arxiv.org/abs/math/0010267

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