Representations of braid groups and construction of projective surfaces
Algebraic Geometry
2019-05-10 v1 Geometric Topology
Abstract
Braid groups are an important and flexible tool used in several areas of science, such as Knot Theory (Alexander's theorem), Mathematical Physics (Yang-Baxter's equation) and Algebraic Geometry (monodromy invariants). In this note we will focus on their algebraic-geometric aspects, explaining how the representation theory of higher genus braid groups can be used to produce interesting examples of projective surfaces defined over the field of complex numbers.
Cite
@article{arxiv.1905.03483,
title = {Representations of braid groups and construction of projective surfaces},
author = {Francesco Polizzi},
journal= {arXiv preprint arXiv:1905.03483},
year = {2019}
}
Comments
Note written for the Proceedings of the Conference "Group 32 - The 32nd International Colloquium on Group Theoretical Methods in Physics", held on Czech Technical University (Prague) on July 9-13, 2018