Morse theory for the space of Higgs \(G\)-bundles

DOI10.1007/s10711-010-9476-9zbMath1210.58011arXiv1002.1108OpenAlexW2073409181WikidataQ60137729 ScholiaQ60137729MaRDI QIDQ605074

Graeme Wilkin, Indranil Biswas

Publication date: 23 November 2010

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1108

zbMATH Keywords

principal bundleHiggs bundleMorse flow

Mathematics Subject Classification ID

Related Items (1)

Morse theory, Higgs fields, and Yang-Mills-Higgs functionals

Cites Work

• Morse theory and hyperkähler Kirwan surjectivity for Higgs bundles
• Morse theory for the space of Higgs bundles
• The topology of the space of stable bundles on a compact Riemann surface
• Higgs bundles and local systems
• Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface
• Connections and Higgs fields on a principal bundle
• On Harder-Narasimhan reductions for Higgs principal bundles
• Einstein-Hermitian connections on polystable principal bundles over a compact Kahler manifold
• YANG–MILLS EQUATION FOR STABLE HIGGS SHEAVES
• On the Homology of Compactifications of Moduli Spaces of Vector Bundles Over a Riemann Surface
• On the Yang-Mills heat equation in two and three dimensions.
• The Cohomology Rings of Moduli Spaces of Bundles over Riemann Surfaces
• Complete sets of relations in the cohomology rings of moduli spaces of holomorphic bundles and parabolic bundles over a Riemann surface
• The Yang-Mills equations over Riemann surfaces
• Flat holomorphic connections on principal bundles over a projective manifold
• Harder–Narasimhan reduction of a principal bundle
• Convergence properties of the Yang-Mills flow on Kähler surfaces
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