Generalized SU(2) theta functions

DOI10.1007/BF01244310zbMath0816.14013OpenAlexW2085485921MaRDI QIDQ1319229

Aaron Bertram

Publication date: 10 July 1995

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144130

zbMATH Keywords

compact Riemann surfacegeneralized SU(2)- theta functionsparabolic vector bundlesVerlinde's formula

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81T99) Theta functions and abelian varieties (14K25) Vector bundles on curves and their moduli (14H60) Riemann surfaces; Weierstrass points; gap sequences (14H55) Theta functions and curves; Schottky problem (14H42) Fine and coarse moduli spaces (14D22)

Related Items

Factorization of rank two theta functions. II: Proof of the Verlinde formula, Scaling of conformal blocks and generalized theta functions over \(\overline{\mathcal {M}}_{g,n}\), A realization of the modular functor in the space of differentials and the geometric approximation of the moduli space of \(G\)-bundles, Moduli spaces of parabolic fibres and conformal blocks, Recent trends in algebraic geometry. Abstracts from the workshop held June 18--23, 2023, On a period map for SU(2) conformal vacua, Rank-level duality for conformal blocks of the linear group, An Infinitesimal Torelli for Conformal Vacua, Local degeneration of the moduli space of vector bundles and factorization of rank two theta functions. I

Cites Work

• Unnamed Item
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• Groupe de Picard des variétés de modules de fibrés semi-stable sur les courbes algébriques. (Picard groups of moduli varieties of semi- stable bundles on algebraic curves)
• Polynomial invariants for smooth four-manifolds
• Fusion rules and modular transformations in 2D conformal field theory
• Moduli of vector bundles on curves with parabolic structures
• Conformal field theory and the cohomology of the moduli space of stable bundles
• Moduli of rank-2 vector bundles, theta divisors, and the geometry of curves in projective space
• Deformations of the moduli space of vector bundles over an algebraic curve
• Factorisation of generalised theta functions. I
• Stable and unitary vector bundles on a compact Riemann surface
• Flat connections and geometric quantization
• MODULI OF STABLE PAIRS FOR HOLOMORPHIC BUNDLES OVER RIEMANN SURFACES
• The Yang-Mills equations over Riemann surfaces
• On the Cohomology of Moduli Spaces of Rank Two Vector Bundles Over Curves