Aspects of the Topology and Combinatorics of Higgs Bundle Moduli Spaces

被引：9

作者：

Rayan, Steven ^{[1
]}

机构：

[1] Univ Saskatchewan, Dept Math & Stat, McLean Hall, Saskatoon, SK S7N 5E6, Canada

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2018年 / 14卷

关键词：

Higgs bundle; Morse-Bott theory; localization; Betti number; moduli space; stability; quiver; partition problem; COHOMOLOGY RING; LANGLANDS DUALITY; SPECTRAL CURVES; VECTOR-BUNDLES; MORSE-THEORY; PAIRS; GENERATORS; CHARACTER; EQUATIONS; SYSTEMS;

D O I：

10.3842/SIGMA.2018.129

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：18

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