Mapping class groups are linear
arXiv:math/0312449 · doi:10.1515/9783110413557-012
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.
10 pages, 1 figure; detailed proof of a key lemma 2