Torelli theorem for the parabolic Deligne-Hitchin moduli space

DOI10.1016/j.geomphys.2017.10.006zbMath1387.14045arXiv1607.04096OpenAlexW2963497210MaRDI QIDQ1685881

David Alfaya, Tomás L. Gómez

Publication date: 20 December 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.04096

zbMATH Keywords

moduli spacevector bundleTorelli theoremparabolic Higgs bundleparabolic Deligne-Hitchin

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Torelli problem (14C34)

Related Items (6)

Automorphism group of the moduli space of parabolic vector bundles with fixed degree ⋮ Line bundles on the moduli space of parabolic connections over a compact Riemann surface ⋮ Topological mirror symmetry for parabolic Higgs bundles ⋮ Chen-Ruan cohomology and moduli spaces of parabolic bundles over a Riemann surface ⋮ Automorphism group of the moduli space of parabolic bundles over a curve ⋮ A Torelli type theorem for nodal curves

Cites Work

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• A Torelli type theorem for the moduli space of parabolic vector bundles over curves
• A Torelli theorem for the moduli space of parabolic Higgs bundles
• A criterion for the existence of a flat connection on a parabolic vector bundle
• Harmonic Bundles on Noncompact Curves
• Betti numbers of the moduli space of rank 3 parabolic Higgs bundles
• The Self-Duality Equations on a Riemann Surface
• Rationality of Moduli Spaces of Parabolic Bundles

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