Aspects of the Topology and Combinatorics of Higgs Bundle Moduli Spaces

Aspects of the Topology and Combinatorics of Higgs Bundle Moduli Spaces

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...

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Veröffentlicht in:Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2018-01, Vol.14
1. Verfasser: Rayan, Steven
Format: Artikel
Sprache:eng
Schlagworte:
Combinatorial analysis
Riemann surfaces
Topology
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Zusammenfassung: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.
ISSN:1815-0659
1815-0659
DOI:10.3842/SIGMA.2018.129