Zariski theorems and diagrams for braid groups
Group Theory
2009-10-31 v2 Algebraic Topology
Abstract
Empirical properties of generating systems for complex reflection groups and their braid groups have been observed by Orlik-Solomon and Brou\'e-Malle-Rouquier, using Shephard-Todd classification. We give a general existence result for presentations of braid groups, which partially explains and generalizes the known empirical properties. Our approach is invariant-theoretic and does not use the classification. The two ingredients are Springer theory of regular elements and a Zariski-like theorem.
Cite
@article{arxiv.math/0010323,
title = {Zariski theorems and diagrams for braid groups},
author = {David Bessis},
journal= {arXiv preprint arXiv:math/0010323},
year = {2009}
}
Comments
21 pages