Aspects of the Topology and Combinatorics of Higgs Bundle Moduli Spaces

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Author: Rayan, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209875
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Aspects of the Topology and Combinatorics of Higgs Bundle Moduli Spaces / S. Rayan // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 67 назв. — англ.

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 combinat...