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arXiv:math/0312449 [math.AG]AbstractReferencesReviewsResources

Mapping class groups are linear

Igor Nikolaev

Published 2003-12-24, updated 2010-07-09Version 8

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.

Comments: 10 pages, 1 figure; detailed proof of a key lemma 2
Categories: math.AG, math.GT, math.KT, math.OA
Subjects: 14H52, 46L85
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