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June 2009 Strange duality and the Hitchin/WZW connection
Prakash Belkale
J. Differential Geom. 82(2): 445-465 (June 2009). DOI: 10.4310/jdg/1246888491

Abstract

For a compact Riemann surface $X$ of positive genus, the space of sections of a 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.

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Prakash Belkale. "Strange duality and the Hitchin/WZW connection." J. Differential Geom. 82 (2) 445 - 465, June 2009. https://doi.org/10.4310/jdg/1246888491

Information

Published: June 2009
First available in Project Euclid: 6 July 2009

zbMATH: 1193.14013
MathSciNet: MR2520799
Digital Object Identifier: 10.4310/jdg/1246888491

Rights: Copyright © 2009 Lehigh University

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Vol.82 • No. 2 • June 2009
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