Gau-Manin determinant connections and periods for irregular connections
Abstract
Gau-Manin determinant connections associated to irregular connections on a curve are studied. The determinant of the Fourier transform of an irregular connection is calculated. The determinant of cohomology of the standard rank 2 Kloosterman sheaf is computed modulo 2 torsion. Periods associated to irregular connections are studied in the very basic (f) case, and analogies with the Gau-Manin determinant are discussed.
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