Mapping class groups are linear
Algebraic Geometry
2018-10-16 v8 Geometric Topology
K-Theory and Homology
Operator Algebras
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.
Cite
@article{arxiv.math/0312449,
title = {Mapping class groups are linear},
author = {Igor Nikolaev},
journal= {arXiv preprint arXiv:math/0312449},
year = {2018}
}
Comments
10 pages, 1 figure; detailed proof of a key lemma 2