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Strange duality and the hitchin/wzw connection

Prakash Belkale UNC-Chapel Hill

Differential Geometry mathscidoc:1609.10123

Journal of Differential Geometry, 82, (2), 2009
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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@inproceedings{prakash2009strange,
  title={STRANGE DUALITY AND THE HITCHIN/WZW CONNECTION},
  author={Prakash Belkale},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160911184336763145780},
  booktitle={Journal of Differential Geometry},
  volume={82},
  number={2},
  year={2009},
}
Prakash Belkale. STRANGE DUALITY AND THE HITCHIN/WZW CONNECTION. 2009. Vol. 82. In Journal of Differential Geometry. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160911184336763145780.
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