Mapping class groups are linear
代数几何
2018-10-16 v8 几何拓扑
K理论与同调
算子代数
摘要
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.
引用
@article{arxiv.math/0312449,
title = {Mapping class groups are linear},
author = {Igor Nikolaev},
journal= {arXiv preprint arXiv:math/0312449},
year = {2018}
}
备注
10 pages, 1 figure; detailed proof of a key lemma 2