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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 129, 18 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.129 (Mi sigma1428) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Aspects of the Topology and Combinatorics of Higgs Bundle Moduli Spaces

Steven Rayan

Department of Mathematics & Statistics, McLean Hall, University of Saskatchewan, Saskatoon, SK, Canada S7N 5E6
Full-text PDF (432 kB) Citations (9)
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DOI: https://doi.org/10.3842/SIGMA.2018.129
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: Higgs bundle; Morse–Bott theory; localization; Betti number; moduli space; stability; quiver; partition problem.
Funding agency Grant number
National Science Foundation DMS-1246844
DMS-1107452
DMS-1107263
DMS-1107367
With regards to the workshops, I acknowledge support from UIC NSF RTG Grant DMS-1246844, the UIC Start-Up Fund of L. Schaposnik, and the grants NSF DMS 1107452, 1107263, 1107367 RNMS: GEometric structures And Representation varieties (the GEAR Network).
Received: September 23, 2018; in final form December 4, 2018; Published online December 7, 2018
Bibliographic databases:
Document Type: Article
MSC: 14D20; 46M20; 57N65; 05A19
Language: English
Citation: Steven Rayan, “Aspects of the Topology and Combinatorics of Higgs Bundle Moduli Spaces”, SIGMA, 14 (2018), 129, 18 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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