The level-rank duality for non-abelian theta functions

By A. Marian, D. Oprea. 2006

75 citations recorded by the source corpus.

We prove that the strange duality conjecture of Beauville–Donagi–Tu holds for all curves. We establish first a more extended level-rank duality, interesting in its own right, from which the standard level-rank duality follows by restriction.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/dfe28909ccb89c3ea2c2a26f4c2ec461696f9bbe

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In Algebra and Number Theory

1. Mihnea Cristian Popa
2. Giuseppe Pareschi

In Geometry and Topology

1. Mihnea Cristian Popa
2. Giuseppe Pareschi
3. C. Schnell
4. Nero Budur

In Mathematical Physics

1. Mihnea Cristian Popa
2. Giuseppe Pareschi
3. C. Schnell
4. Nero Budur

Citations in the corpus

• Clifford Indices for Vector Bundles on Curves (2008, unknown): “Semistable vector bundle, Clifford index, gonality, Brill-Noether theory.”
• GV-sheaves, Fourier-Mukai transform, and generic vanishing (2006, background): “The Strange Duality conjecture, proved recently by Belkale [Bel] and Marian-Oprea [ MO ], allows for an extension of this in the most general setting.”