Anti-holomorphic involutions of the~moduli~spaces of Higgs bundles

DOI10.5802/jep.16zbMath1333.14032arXiv1401.7236OpenAlexW2963176727MaRDI QIDQ495133

Oscar García-Prada, Indranil Biswas

Publication date: 9 September 2015

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.7236

zbMATH Keywords

involutionsbranescharacter varietiesG-Higgs bundlesreality conditions

Mathematics Subject Classification ID

Moduli problems for topological structures (58D29) Applications of global analysis to structures on manifolds (57R57) Vector bundles on curves and their moduli (14H60)

Related Items

Branes on the singular locus of the Hitchin system via Borel and other parabolic subgroups, Involutions of Higgs moduli spaces over elliptic curves and pseudo-real Higgs bundles, Non-connected Lie groups, twisted equivariant bundles and coverings, On the cohomology of character stacks for non-orientable surfaces, Abelianization of Higgs bundles for quasi-split real groups, Gauge theory and the analytic form of the geometric Langlands program, Unramified covers and branes on the Hitchin system, Higgs bundles, branes and Langlands duality, Parallels between moduli of quiver representations and vector bundles over curves, Pseudo-real principalG-bundles over a real curve, Action of the mapping class group on character varieties and Higgs bundles, Group actions on quiver varieties and applications, Branes in the moduli space of framed sheaves

Cites Work

• Unnamed Item
• Unnamed Item
• Real structures on moduli spaces of Higgs bundles
• Higgs bundles and \((A,B,A)\)-branes
• A Torelli theorem for moduli spaces of principal bundles over a curve
• Pseudo-real principal Higgs bundles on compact Kähler manifolds
• On non-connected compact Lie groups
• Electric-magnetic duality and the geometric Langlands program
• The symplectic nature of fundamental groups of surfaces
• Flat G-bundles with canonical metrics
• Higgs bundles and local systems
• Moduli of representations of the fundamental group of a smooth projective variety. II
• Classification of the automorphism and isometry groups of Higgs bundle moduli spaces
• Complex Analytic Connections in Fibre Bundles
• YANG–MILLS EQUATION FOR STABLE HIGGS SHEAVES
• The Self-Duality Equations on a Riemann Surface
• Twisted Harmonic Maps and the Self-Duality Equations
• Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
• Relative Hitchin-Kobayashi Correspondences for Principal Pairs
• Involutions of rank 2 Higgs bundle moduli spaces