Moduli of parabolic Higgs bundles and Atiyah algebroids

DOI10.1515/CRELLE.2010.090zbMath1223.14038arXiv0811.0817OpenAlexW3100897782MaRDI QIDQ3065810

Johan Martens, Marina Logares

Publication date: 6 January 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.0817

zbMATH Keywords

Poisson structureparabolic Higgs bundles

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60) Fine and coarse moduli spaces (14D22)

Related Items (21)

The birational geometry of unramified irregular Higgs bundles on curves ⋮ Parabolic Hitchin maps and their generic fibers ⋮ Symplectic Resolutions for Multiplicative Quiver Varieties and Character Varieties for Punctured Surfaces ⋮ Topological mirror symmetry for parabolic Higgs bundles ⋮ Introduction to Nonabelian Hodge Theory ⋮ Hitchin systems for invariant and anti-invariant vector bundles ⋮ Monodromy of rank 2 parabolic Hitchin systems ⋮ Moduli spaces of framed \(G\)-Higgs bundles and symplectic geometry ⋮ Intersection cohomology of character varieties for punctured Riemann surfaces ⋮ A Hitchin connection on nonabelian theta functions for parabolic \(G\)-bundles ⋮ Logahoric Higgs torsors for a complex reductive group ⋮ Asymptotic geometry of the moduli space of parabolic SL(2,C)$\operatorname{SL}(2,\mathbb {C})$‐Higgs bundles ⋮ Hitchin fibration under ramified coverings ⋮ SYZ duality for parabolic Higgs moduli spaces ⋮ Hitchin fibration on moduli of symplectic and orthogonal parabolic Higgs bundles ⋮ The Beauville-Narasimhan-Ramanan correspondence for twisted Higgs 𝑉-bundles and components of parabolic 𝑆𝑝(2𝑛,ℝ)-Higgs moduli spaces ⋮ A hyperholomorphic line bundle on certain hyperkähler manifolds not admitting an \(S^1\)-symmetry ⋮ Parabolic refined invariants and Macdonald polynomials ⋮ Relative log-symplectic structure on a semi-stable degeneration of moduli of Higgs bundles ⋮ A Torelli theorem for moduli spaces of parabolic vector bundles over an elliptic curve ⋮ Bohr-Sommerfeld Lagrangians of moduli spaces of Higgs bundles

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