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Mapping class groups are linear

Igor Nikolaev
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Abstract

It is shown, that the mapping class group of a surface of the genus g > 1 admits a faithful representation into the matrix group GL (6g-6, Z). The proof is based on a categorical correspondence between the Riemann surfaces and the so-called toric AF-algebras.

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Igor Nikolaev. 2010-07-09. Mapping class groups are linear. https://doi.org/10.1515/9783110413557-012

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