Theta functions for \(SL(n)\) versus \(GL(n)\)

DOI10.4310/MRL.1994.v1.n3.a6zbMath0847.14027arXivalg-geom/9303004MaRDI QIDQ1901661

Loring W. Tu, Ron Y. Donagi

Publication date: 15 October 1996

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9303004

zbMATH Keywords

moduli spacecompact Riemann surfaceVerlinde formulatheta bundles

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Algebraic moduli problems, moduli of vector bundles (14D20) Theta functions and abelian varieties (14K25) Vector bundles on curves and their moduli (14H60)

Related Items (15)

Effective very ampleness for generalized theta divisors ⋮ Tautological algebra of the moduli space of semistable bundles on an elliptic curve ⋮ Remark on the moduli space of rank 2 bundles over a curve ⋮ Generating functions for 𝐾-theoretic Donaldson invariants and Le Potier’s strange duality ⋮ A canonical decomposition of generalized theta functions on the moduli stack of Gieseker vector bundles ⋮ Moduli spaces of 1-dimensional semi-stable sheaves and strange duality on \(\mathbb{P}^2\) ⋮ The level-rank duality for non-abelian theta functions ⋮ Strange duality on \(\mathbb{P}^2\) via quiver representations ⋮ Reciprocity Laws in the Verlinde Formulae for the Classical Groups ⋮ Rank-level duality for conformal blocks of the linear group ⋮ A note on the Verlinde bundles on elliptic curves ⋮ The strange duality conjecture for generic curves ⋮ Verlinde bundles and generalized theta linear series ⋮ The nilpotent cone in the Mukai system of rank two and genus two ⋮ Generalized theta functions, strange duality, and odd orthogonal bundles on curves

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