Morse Theory, Higgs fields and Yang-Mills-Higgs functionals
Steven Bradlow, Graeme Wilkin
TL;DR
This paper reviews Morse-theoretic techniques applied to analyze the topology of moduli spaces of Higgs bundles, highlighting their mathematical significance and applications.
Contribution
It provides a comprehensive overview of Morse-theoretic methods used in studying Higgs bundle moduli spaces, emphasizing their role in understanding geometric structures.
Findings
Morse theory offers powerful tools for topological analysis.
Applications to Higgs bundle moduli spaces are elucidated.
The overview connects Morse theory with geometric and physical theories.
Abstract
In this paper we give an overview of different Morse-theoretic methods used to study the topology of moduli spaces of Higgs bundles.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry