Nonabelian theta functions of positive genus

DOI10.1090/S0002-9939-08-09467-7zbMath1156.14027arXivmath/0612022OpenAlexW2056776445MaRDI QIDQ3542038

Arzu Boysal

Publication date: 27 November 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612022

zbMATH Keywords

semistable vector bundlenonabelian theta functionsmooth projective irreducible curve

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Vector bundles on curves and their moduli (14H60)

Cites Work

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• Infinite Grassmannians and moduli spaces of \(G\)-bundles
• Parabolic bundles, products of conjugacy classes, and Gromov-Witten invariants.
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• A theorem on compact semi-simple groups
• The line bundles on the moduli of parabolic G-bundles over curves and their sections
• Conformal blocks, fusion rules and the Verlinde formula
• Eigenvalues, invariant factors, highest weights, and Schubert calculus
• Quantum generalization of the Horn conjecture

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