Homological and monodromy representations of framed braid groups
Geometric Topology
2017-12-06 v1 Representation Theory
Abstract
In this paper, we introduce two new classes of representations of the framed braid groups. One is the homological representation constructed as the action of a mapping class group on a certain homology group. The other is the monodromy representation of the confluent KZ equation, which is a generalization of the KZ equation to have irregular singularities. We also give a conjectural equivalence between these two classes of representations.
Keywords
Cite
@article{arxiv.1702.03918,
title = {Homological and monodromy representations of framed braid groups},
author = {Akishi Ikeda},
journal= {arXiv preprint arXiv:1702.03918},
year = {2017}
}
Comments
32 pages, 8 figures