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Introduction to Nonabelian Hodge Theory (Q3460691)

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Language	Label	Description	Also known as
English	Introduction to Nonabelian Hodge Theory	scientific article

Statements

scholarly article

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Introduction to Nonabelian Hodge Theory (English)

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Alberto García-Raboso

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Calabi-Yau Varieties: Arithmetic, Geometry and Physics

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publication date

8 January 2016

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full work available at URL

https://arxiv.org/abs/1406.1693

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MaRDI profile type

MaRDI publication profile

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Isospectral Hamiltonian flows in finite and infinite dimensions. II: Integration of flows

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The Yang-Mills equations over Riemann surfaces

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Jacobiennes des courbes spectrales et systèmes hamiltoniens complètement intégrables. (The Jacobians of spectral curves and completely integrable Hamiltonian systems)

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Spectral curves and the generalised theta divisor.

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Fibrés de higgs et connexions intégrables : Le cas logarithmique (diviseur lisse)

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Wild non-abelian Hodge theory on curves

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MODULI SPACES OF PARABOLIC HIGGS BUNDLES AND PARABOLIC K(D) PAIRS OVER SMOOTH CURVES: I

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Autodual connection in the Fourier transform of a Higgs bundle

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Symplectic geometry on moduli spaces of stable pairs

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Moduli spaces of holomorphic triples over compact Riemann surfaces

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Wallcrossing and cohomology of the moduli space of Hitchin pairs

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Flat G-bundles with canonical metrics

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Harmonic mappings and disc bundles over compact Kähler manifolds

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Spectral Covers

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Spectral curves, algebraically completely integrable Hamiltonian systems, and moduli of bundles

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Langlands duality for Hitchin systems

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Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles

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Infinite determinants, stable bundles and curvature

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Twisted Harmonic Maps and the Self-Duality Equations

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Gauge Theory and Langlands Duality

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Betti numbers of the moduli space of rank 3 parabolic Higgs bundles

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On the motives of moduli of chains and Higgs bundles

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Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces

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THE BETTI NUMBERS OF THE MODULI SPACE OF STABLE RANK 3 HIGGS BUNDLES ON A RIEMANN SURFACE

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On the cohomology groups of moduli spaces of vector bundles on curves

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Vanishing of intersection numbers on the moduli space of Higgs bundles.

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Global topology of the Hitchin system

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Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz.

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Mirror symmetry, Langlands duality, and the Hitchin system

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Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles

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Generators for the cohomology ring of the moduli space of rank 2 Higgs bundles

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The Self-Duality Equations on a Riemann Surface

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Stable bundles and integrable systems

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LANGLANDS DUALITY AND G2 SPECTRAL CURVES

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Generalized holomorphic bundles and the B-field action

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Complex geometry. An introduction

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Harmonic mappings and Kähler manifolds

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Harmonic maps of infinite energy and rigidity results for representations of fundamental groups of quasiprojective varieties

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Electric-magnetic duality and the geometric Langlands program

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Construction of the moduli space of stable parabolic Higgs bundles on a Riemann surface

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Sur certaines structures fibrées complexes

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Moduli of parabolic Higgs bundles and Atiyah algebroids

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Generators of the cohomology ring of moduli spaces of sheaves on symplectic surfaces

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Restriction of stable sheaves and representations of the fundamental group

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Moduli of vector bundles on curves with parabolic structures

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Kobayashi-Hitchin correspondence for tame harmonic bundles. II.

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Wild Harmonic Bundles and Wild Pure Twistor D-modules

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Stable and unitary vector bundles on a compact Riemann surface

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Orbifold Riemann Surfaces and the Yang-Mills-Higgs Equations

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Complex analytic coordinates in almost complex manifolds

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The fundamental lemma for Lie algebras

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Moduli Space of Semistable Pairs on a Curve

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Co-Higgs bundles on \(\mathbb P^1\)

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Space of unitary vector bundles on a compact Riemann surface

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Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization

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Harmonic Bundles on Noncompact Curves

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Higgs bundles and local systems

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Moduli of representations of the fundamental group of a smooth projective variety. I

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Moduli of representations of the fundamental group of a smooth projective variety. II

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Mirror symmetry is \(T\)-duality

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Stable pairs, linear systems and the Verlinde formula

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On the existence of hermitian-yang-mills connections in stable vector bundles

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Differential Analysis on Complex Manifolds

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GAUGE THEORY AND WILD RAMIFICATION

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Identifiers

zbMATH Open document ID

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10.1007/978-1-4939-2830-9_5

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

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