The strange duality conjecture for generic curves

Abstract

For X a compact Riemann surface of positive genus, the strange duality conjecture predicts that the space of sections of certain theta bundle on moduli of bundles of rank r and level k is naturally dual to a similar space of sections of rank k and level r. We prove this conjecture for X generic in the moduli space of curves of a given genus.

22 pages, improvements in exposition and minor corrections

Cited by in corpus (2)

• The rank-level duality for non-abelian theta functions
• Rank-level duality of conformal blocks of GL_n and SL_n