Strange duality and the Hitchin/WZW connection
Strange duality and the Hitchin/WZW connection
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DOI：
10.4310/jdg/1246888491
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发表时间：
2007-05
影响因子：
2.5
通讯作者：
P. Belkale
中科院分区：
文献类型：
--
作者：
P. Belkale
对于正亏格的紧致黎曼曲面X，在秩为r和水平为k的丛的模上的某个θ丛的截面空间允许一个自然映射到秩为k和水平为r的相似截面空间（的对偶）（奇怪的对偶同构）。当X在一个族中变化时，同构的两边都带有射影联络。我们证明了这个映射是（射影）平坦的。
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.