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HITCHIN'S CONNECTION AND DIFFERENTIAL OPERATORS WITH VALUES IN THE DETERMINANT BUNDLE

HITCHIN'S CONNECTION AND DIFFERENTIAL OPERATORS WITH VALUES IN THE DETERMINANT BUNDLE

For a family of smooth curves, we have the associated family of moduli spaces of stable bundles with fixed determinant on the curves. There exists a so-called theta line bundle on the family of moduli spaces. When the Kodaira-Spencer map of the family of curves is an isomorphism, we prove …