Mapping class groups are linear

Details Mapping class groups are linear Mapping class groups are linear

2003-12-24

arxiv.org/abs/math/0312449v8

Mathematics

Algebraic Geometry

10 pages, 1 figure; detailed proof of a key lemma 2

Scientific paper

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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