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- W3204453928 abstract "Given a simple, simply connected, complex algebraic group G, a flat projective connection on the bundle of nonabelian theta functions on the moduli space of semistable parabolic G-bundles over any family of smooth projective curves with marked points was constructed by the authors in an earlier paper. Here, it is shown that the identification between the bundle of nonabelian theta functions and the bundle of WZNW conformal blocks is flat with respect to this connection and the one constructed by Tsuchiya-Ueno-Yamada. As an application, we give a geometric construction of the Knizhnik-Zamolodchikov connection on the trivial bundle over the configuration space of points in the projective line whose typical fiber is the space of invariants of tensor product of representations." @default.
- W3204453928 created "2021-10-11" @default.
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- W3204453928 date "2021-10-01" @default.
- W3204453928 modified "2023-09-27" @default.
- W3204453928 title "Geometrization of the TUY/WZW/KZ connection." @default.
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