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.
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页数：18
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