The orbit type stratification of the moduli space of Higgs bundles

DOI10.1007/s00208-021-02244-0OpenAlexW3193204122MaRDI QIDQ2160205

Yue Fan

Publication date: 3 August 2022

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.13649

zbMATH Keywords

complex Poisson bracketcomplex Whitney stratification

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Algebraic moduli problems, moduli of vector bundles (14D20) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Cites Work

• Cartan decomposition of the moment map
• Morse theory for the space of Higgs bundles
• Stratified symplectic spaces and reduction
• Higgs bundles and local systems
• Reduction of complex Hamiltonian \(G\)-spaces
• A survey of the GIT picture for the Yang-Mills equation over Riemann surfaces
• Moduli of representations of the fundamental group of a smooth projective variety. II
• Holomorphic slices, symplectic reduction and multiplicities of representations
• The Self-Duality Equations on a Riemann Surface
• A Hitchin-Kobayashi correspondence for Kähler fibrations
• Higgs Bundles and Local Systems on Riemann Surfaces
• Lie groups

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