Logahoric Higgs torsors for a complex reductive group

DOI10.1007/s00208-023-02605-xarXiv2107.01977OpenAlexW4324374782MaRDI QIDQ6117876

Lutian Zhao, Hao Sun, Georgios Kydonakis

Publication date: 21 February 2024

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

Full work available at URL: https://arxiv.org/abs/2107.01977

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Group schemes (14L15) Stacks and moduli problems (14D23) Notions of stability for complex manifolds (32Q26)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Openness of versality via coherent functors
• Riemann-Hilbert for tame complex parahoric connections
• Rigid surface operators
• Global Springer theory
• Parabolic Higgs bundles and representations of the fundamental group of a punctured surface into a real group
• Non-abelian Hodge theory for algebraic curves in characteristic \(p\)
• Twisted loop groups and their affine flag varieties. With an appendix by T. Haines and M. Rapoport.
• Uniformization of \({\mathcal {G}}\)-bundles
• Quasi-Hamiltonian geometry of meromorphic connections
• The fundamental group-scheme
• Moduli for principal bundles over algebraic curves. I
• Moduli of vector bundles on curves with parabolic structures
• Hodge cycles, motives, and Shimura varieties
• Versal deformations and algebraic stacks
• Harmonic metrics and connections with irregular singularities
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Parabolic bundles as orbifold bundles
• Moduli for principal bundles over algebraic curves. II
• Parabolic bundles, products of conjugacy classes, and Gromov-Witten invariants.
• Connections on parahoric torsors over curves
• Stable principal bundles on a compact Riemann surface
• \(B\)-structures on \(G\)-bundles and local triviality
• Topological invariants of parabolic \(G\)-Higgs bundles
• Geometry and braiding of Stokes data; fission and wild character varieties
• Stable and unitary vector bundles on a compact Riemann surface
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Reductive groups over a local field
• Généralisation des fonctions abéliennes
• Principal bundles over a projective scheme
• Torsors over the punctured affine line
• Moduli of parahoric 𝒢-torsors on a compact Riemann surface
• Some questions about $\mathcal G$-bundles on curves
• Moduli of parabolic Higgs bundles and Atiyah algebroids
• Harmonic Bundles on Noncompact Curves
• The Beauville-Narasimhan-Ramanan correspondence for twisted Higgs 𝑉-bundles and components of parabolic 𝑆𝑝(2𝑛,ℝ)-Higgs moduli spaces
• Using stacks to impose tangency conditions on curves
• Betti numbers of the moduli space of rank 3 parabolic Higgs bundles
• The Structure of Affine Buildings. (AM-168)
• Moduli of vector bundles on curves with parabolic structures
• The line bundles on the moduli of parabolic G-bundles over curves and their sections
• Quot Functors for Deligne-Mumford Stacks
• Wild non-abelian Hodge theory on curves
• Hilbert-Mumford stability on algebraic stacks and applications to $\mathcal{G}$-bundles on curves
• Dirac Manifolds
• Orbifold Riemann Surfaces and the Yang-Mills-Higgs Equations
• Complete Integrability of the Parahoric Hitchin System
• Higgs bundles and surface group representations in the real symplectic group
• PARABOLIC HIGGS BUNDLES AND -HIGGS BUNDLES
• MODULI SPACES OF PARABOLIC HIGGS BUNDLES AND PARABOLIC K(D) PAIRS OVER SMOOTH CURVES: I
• Principal bundles over projective manifolds with parabolic structure over a divisor