Topology of Hitchin systems and Hodge theory of character varieties: the case \(A_1\)
type: Item
instance of: scholarly article
title: Topology of Hitchin systems and Hodge theory of character varieties: the case \(A_1\)
zbMATH Open document ID: 1375.14047
author: Mark Andrea A. de Cataldo
author: Tamás Hausel
author: Luca Migliorini
published in: Annals of Mathematics. Second Series
publication date: 2012-06-29T00:00:00Z
full work available at URL: https://arxiv.org/abs/1004.1420
Mathematics Subject Classification ID: 14D20
Mathematics Subject Classification ID: 53D30
zbMATH DE Number: 6051272
zbMATH Keywords: character variety
zbMATH Keywords: compactified Jacobian
zbMATH Keywords: Hitchin fibration
zbMATH Keywords: perverse filtration
zbMATH Keywords: weight filtration
MaRDI profile type: Publication
OpenAlex ID: W2158047466
arXiv ID: 1004.1420
cites work: Q3050553
cites work: Compactifying the Picard scheme
cites work: Q3347989
cites work: Q4040393
cites work: Counting rational curves on \(K3\) surfaces
cites work: Spectral curves and the generalised theta divisor.
cites work: Q3320507
cites work: Q5714600
cites work: Flat G-bundles with canonical metrics
cites work: Motivic decomposition and intersection Chow groups. I.
cites work: The perverse filtration and the Lefschetz hyperplane theorem, II
cites work: The standard filtration on cohomology with compact supports with an appendix on the base change map and the Lefschetz hyperplane theorem
cites work: Q2947648
cites work: Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces
cites work: The Hodge theory of algebraic maps
cites work: Hodge-theoretic aspects of the Decomposition Theorem
cites work: The perverse filtration and the Lefschetz hyperplane theorem
cites work: The decomposition theorem, perverse sheaves and the topology of algebraic maps
cites work: BPS states and the \(P = W\) conjecture
cites work: Q4297054
cites work: Sheaves in topology
cites work: Twisted Harmonic Maps and the Self-Duality Equations
cites work: Q3884235
cites work: Spectral curves, algebraically completely integrable Hamiltonian systems, and moduli of bundles
cites work: Q4342000
cites work: Compactification of moduli of Higgs bundles
cites work: Vanishing of intersection numbers on the moduli space of Higgs bundles.
cites work: Q3375888
cites work: Global topology of the Hitchin system
cites work: Prym varieties of spectral covers
cites work: Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles
cites work: Generators for the cohomology ring of the moduli space of rank 2 Higgs bundles
cites work: Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz.
cites work: The Self-Duality Equations on a Riemann Surface
cites work: Stable bundles and integrable systems
cites work: Q5185698
cites work: Q3999005
cites work: The fundamental lemma for unitary groups
cites work: Q4530238
cites work: On the \(E\)-polynomials of a family of \({\mathrm {Sl}}_n\)-character varieties
cites work: Stable and unitary vector bundles on a compact Riemann surface
cites work: Characteristic Classes of Stable Bundles of Rank 2 Over an Algebraic Curve
cites work: Moduli Space of Semistable Pairs on a Curve
cites work: Hitchin fibration and endoscopy
cites work: The fundamental lemma for Lie algebras
cites work: Mixed Hodge Structures
cites work: The compactified Jacobian
cites work: Q4011181
cites work: Higgs bundles and local systems
DOI: 10.4007/ANNALS.2012.175.3.7
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