Generalized punctual Hilbert schemes and 𝔤-complex structures

DOI10.1142/S0129167X22500045zbMath1486.30123arXiv1910.08504MaRDI QIDQ5061458

Alexander Thomas

Publication date: 11 March 2022

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.08504

zbMATH Keywords

geometric structureshigher Teichmüller theoryHitchin componentspunctual Hilbert schemes

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Teichmüller theory for Riemann surfaces (30F60)

Cites Work

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• Stable bundles and integrable systems
• Lie groups and Teichmüller space
• \(t,q\)-Catalan numbers and the Hilbert scheme.
• Conjugacy classes in algebraic groups. Notes by Vinay V. Deodhar
• Higgs bundles for real groups and the Hitchin–Kostant–Rallis section
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• Higher Complex Structures
• Lie Group Representations on Polynomial Rings
• Algebraic Families on an Algebraic Surface
• Orbits and Representations Associated with Symmetric Spaces
• Punctual Hilbert schemes

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