Strange duality and the Hitchin/WZW connection

Belkale, Prakash

J. Differential Geom., Tome 81 (2009) no. 2, p. 445-465 / Harvested from Project Euclid

Résumé

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.

Publié le : 2009-06-15
Classification:

@article{1246888491,
     author = {Belkale, Prakash},
     title = {Strange duality and the Hitchin/WZW connection},
     journal = {J. Differential Geom.},
     volume = {81},
     number = {2},
     year = {2009},
     pages = { 445-465},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1246888491}
}

Belkale, Prakash. Strange duality and the Hitchin/WZW connection. J. Differential Geom., Tome 81 (2009) no. 2, pp.  445-465. http://gdmltest.u-ga.fr/item/1246888491/