Goldman form, flat connections and stable vector bundles

DOI10.4171/LEM/1036zbMath1502.14032arXiv2105.03745OpenAlexW3160291502MaRDI QIDQ2674718

L. A. Takhtadzhyan

Publication date: 14 September 2022

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.03745

zbMATH Keywords

moduli spaceRiemann-Hilbert correspondenceEichler integralcharacter varietyflat connectionsstable vector bundleLiouville symplectic formNarasimhan-Seshadri theoremGoldman symplectic form

Mathematics Subject Classification ID

Complex-analytic moduli problems (32G13) Algebraic moduli problems, moduli of vector bundles (14D20) Symplectic structures of moduli spaces (53D30)

Related Items (1)

Higgs fields, non-abelian Cauchy kernels and the Goldman symplectic structure

Cites Work

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• The symplectic nature of fundamental groups of surfaces
• Topological components of spaces of representations
• Group systems, groupoids, and moduli spaces of parabolic bundles
• Liouville action and Weil-Petersson metric on deformation spaces, global Kleinian reciprocity and holography
• A new proof of a theorem of Narasimhan and Seshadri
• The symplectic nature of the space of projective connections on Riemann surfaces
• The moduli space of Riemann surfaces is Kähler hyperbolic
• On Kawai theorem for orbifold Riemann surfaces
• The complex symplectic geometry of the deformation space of complex projective structures
• The first Chern form on moduli of parabolic bundles
• Some remarks on Teichmüller's space of Riemann surfaces
• Stable and unitary vector bundles on a compact Riemann surface
• Holomorphic vector bundles on a compact Riemann surface
• The Yang-Mills equations over Riemann surfaces
• On Shimura’s isomorphism and (Γ,𝐺)-bundles on the upper-half plane

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