Harmonic metrics and connections with irregular singularities

DOI10.5802/aif.1717zbMath0947.32019arXivmath/9905039OpenAlexW2952843857MaRDI QIDQ1294741

Claude Sabbah

Publication date: 10 August 1999

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9905039

zbMATH Keywords

irregular singularitymeromorphic connectionPoincaré lemmaharmonic metric

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)

Related Items

Mirror symmetry and line operators, Hitchin fibrations on moduli of irregular Higgs bundles and motivic wall-crossing, Logahoric Higgs torsors for a complex reductive group, Meromorphic parahoric Higgs torsors and filtered Stokes G-local systems on curves, Twisted spectral correspondence and torus knots, Nahm transform and parabolic minimal Laplace transform, Meromorphic differentials with twisted coefficients on compact Riemann surfaces, Good wild harmonic bundles and good filtered Higgs bundles, Rank 2 bundles with meromorphic connections with poles of Poincaré rank 1, Argyres-Douglas theories, chiral algebras and wild Hitchin characters, Harmonic maps and wild Teichmüller spaces, BPS states, torus links and wild character varieties, Harmonic bundles and Toda lattices with opposite sign. II, On Deligne-Malgrange lattices, resolution of turning points and harmonic bundles, Riemann-Hilbert for tame complex parahoric connections, Kobayashi–Hitchin correspondence for analytically stable bundles, GAUGE THEORY AND WILD RAMIFICATION

Cites Work

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