Strange duality and the Hitchin/WZW connection
Algebraic Geometry
2008-02-16 v5 Representation Theory
Abstract
For a compact Riemann surface X of positive genus, the space of sections of certain theta bundle on moduli of bundles of rank r and level k admits a natural map to (the dual of) a similar space of sections of rank k and level r (the strange duality isomorphism). Both sides of the isomorphism carry projective connections as X varies in a family. We prove that this map is (projectively) flat.
Cite
@article{arxiv.0705.0717,
title = {Strange duality and the Hitchin/WZW connection},
author = {Prakash Belkale},
journal= {arXiv preprint arXiv:0705.0717},
year = {2008}
}
Comments
The only change made is a clarification of the recent history of the strange duality conjecture