Aspects of the topology and combinatorics of Higgs bundle moduli spaces
Algebraic Geometry
2018-12-11 v2 High Energy Physics - Theory
Algebraic Topology
Combinatorics
Differential Geometry
Abstract
This survey provides an introduction to basic questions and techniques surrounding the topology of the moduli space of stable Higgs bundles on a Riemann surface. Through examples, we demonstrate how the structure of the cohomology ring of the moduli space leads to interesting questions of a combinatorial nature.
Keywords
Cite
@article{arxiv.1809.05732,
title = {Aspects of the topology and combinatorics of Higgs bundle moduli spaces},
author = {Steven Rayan},
journal= {arXiv preprint arXiv:1809.05732},
year = {2018}
}
Comments
18 pages; based on an invited mini-course given by the author at the University of Illinois at Chicago in October 2016; published in SIGMA Special Issue on Geometry and Physics of Hitchin Systems