On the spectral variety for rank two Higgs bundles

Publication date: 18 November 2024

Published in: Proceedings of the London Mathematical Society. Third Series (Search for Journal in Brave)

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Algebraic moduli problems, moduli of vector bundles (14D20) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Symmetric differential forms on complete intersection varieties and applications
Closed symmetric 2-differentials of the 1st kind
Maximal representations of uniform complex hyperbolic lattices
Stable bundles and integrable systems
On the Hitchin morphism for higher-dimensional varieties
Convex real projective structures on compact surfaces
Surface group representations with maximal Toledo invariant
Flat G-bundles with canonical metrics
A class of algebraic surfaces of general type constructed from quaternion algebras
Stable reflexive sheaves
Higgs bundles and local systems
Lie groups and Teichmüller space
Moduli of representations of the fundamental group of a smooth projective variety. I
On the rigidity of certain fundamental groups, arithmeticity of complex hyperbolic lattices, and the ``fake projective planes
Symmetric differentials of rank 1 and holomorphic maps
Integrality and arithmeticity of co-compact lattice corresponding to certain complex two-ball quotients of Picard number one
Moduli of representations of the fundamental group of a smooth projective variety. II
Anosov representations: domains of discontinuity and applications.
Symmetric differentials and the fundamental group
Complex algebraic compactifications of the moduli space of Hermitian Yang-Mills connections on a projective manifold
Symmetric differentials, Kähler groups and ball quotients
Bounded differential forms, generalized Milnor-Wood inequality and an application to deformation rigidity
Rigid connections and \(F\)-isocrystals
On the Structure of Codimension 1 Foliations with Pseudoeffective Conormal Bundle
Introduction to Nonabelian Hodge Theory
On the classification of rank-two representations of quasiprojective fundamental groups
The Self-Duality Equations on a Riemann Surface
Twisted Harmonic Maps and the Self-Duality Equations
Spectral curves and the generalised theta divisor.
Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
First Chern class and holomorphic tensor fields
The Hodge filtration on nonabelian cohomology
Higgs Bundles and Local Systems on Riemann Surfaces
Rank 3 rigid representations of projective fundamental groups
The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
AN INVITATION TO HIGHER TEICHMÜLLER THEORY
Birational Geometry of Foliations
On the negativity of kernels of Kodaira-Spencer maps on Hodge bundles and applications
On the Image of Hitchin Morphism for Algebraic Surfaces: The Case GLn

This page was built for publication: On the spectral variety for rank two Higgs bundles