Topological invariants of parabolic \(G\)-Higgs bundles

DOI10.1007/s00209-020-02526-4zbMath1457.14026arXiv1806.00884OpenAlexW3014406583MaRDI QIDQ2223526

Hao Sun, Lutian Zhao, Georgios Kydonakis

Publication date: 29 January 2021

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

Full work available at URL: https://arxiv.org/abs/1806.00884

zbMATH Keywords

topological invariantsparabolic Higgs bundlemaximal componentorbifold Higgs bundleTeichmüller component

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Relationships between algebraic curves and integrable systems (14H70) Vector bundles on curves and their moduli (14H60) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Topology of real algebraic varieties (14P25) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (5)

From Hyperbolic Dehn Filling to Surgeries in Representation Varieties ⋮ Monodromy of rank 2 parabolic Hitchin systems ⋮ Logahoric Higgs torsors for a complex reductive group ⋮ Model Higgs bundles in exceptional components of the Sp(4, ℝ)-character variety ⋮ The Beauville-Narasimhan-Ramanan correspondence for twisted Higgs 𝑉-bundles and components of parabolic 𝑆𝑝(2𝑛,ℝ)-Higgs moduli spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unitary representations of the fundamental group of orbifolds
• Riemann-Hilbert for tame complex parahoric connections
• Parabolic Higgs bundles and representations of the fundamental group of a punctured surface into a real group
• Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces
• Betti numbers of parabolic \(U (2,1)\)-Higgs bundles moduli spaces
• Moduli of vector bundles on curves with parabolic structures
• Representations of orbifold groups and parabolic bundles
• Seifert fibred homology 3-spheres and the Yang-Mills equations on Riemann surfaces with marked points
• Lie groups and Teichmüller space
• The Riemann-Roch theorem for complex V-manifolds
• Chern classes for parabolic bundles
• Construction of the moduli space of stable parabolic Higgs bundles on a Riemann surface
• Compactification of moduli of parabolic sheaves and moduli of parabolic Higgs sheaves
• Parabolic ample bundles
• Parabolic bundles as orbifold bundles
• Stable principal bundles on a compact Riemann surface
• Fenchel-Nielsen coordinates for maximal representations
• A relation between the parabolic Chern characters of the de Rham bundles
• Nonabelianization of Higgs bundles
• Parabolic Higgs bundles and Teichmüller spaces for punctured surfaces
• Harmonic Bundles on Noncompact Curves
• Betti numbers of the moduli space of rank 3 parabolic Higgs bundles
• Moduli of parabolic 𝐺-bundles
• MODULI SPACES OF PARABOLIC U(p, q)-HIGGS BUNDLES
• Moduli of vector bundles on curves with parabolic structures
• INFINITESIMAL DEFORMATION OF PARABOLIC HIGGS SHEAVES
• Variation of moduli of parabolic Higgs bundles
• Cayley and Langlands type correspondences for orthogonal Higgs bundles
• Monodromy of rank 2 twisted Hitchin systems and real character varieties
• PARABOLIC VECTOR BUNDLES AND EQUIVARIANT VECTOR BUNDLES
• Orbifold Riemann Surfaces and the Yang-Mills-Higgs Equations
• MONODROMY OF THE SL₂ HITCHIN FIBRATION
• The Geometries of 3-Manifolds
• Higgs bundles, the Toledo invariant and the Cayley correspondence
• 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
• Components of spaces of representations and stable triples.

This page was built for publication: Topological invariants of parabolic \(G\)-Higgs bundles