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Commuting Differential and Difference Operators Associated to Complex Curves I

Published online by Cambridge University Press:  04 December 2007

B. Enriquez  and
G. Felder
B. Enriquez
Affiliation:
DMA, Ecole Normale Supérieure, UMR du CNRS, 45 rue d'Uem, 75005 Paris, France and FIM, ETH-Zentrum, HG G46, CH-8092 Zürich, Switzerland
G. Felder
Affiliation:
D-Math, ETH-Zentrum, HG G44, CH-8092 Zürich, Switzerland
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Abstract

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The purpose of this paper is to define functional realizations of the Khizhnik–Zamolochikov–Bernard (KZB) connection on the bundle of conformal blocks over the moduli space of curves.

Keywords

KZB equationsdifferential operatorsdifference operatorscomplex curves
Type
Research Article
Information
Compositio Mathematica , Volume 124 , Issue 1 , October 2000 , pp. 17 - 55
Copyright
© 2000 Kluwer Academic Publishers