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Thick morphisms of supermanifolds and oscillatory integral operators

Published 8 Jun 2015 in math-ph, math.DG, math.MP, math.QA, and math.SG | (1506.02417v1)

Abstract: We show that thick morphisms (or microformal morphisms) between smooth (super)manifolds, introduced by us before, are classical limits of `quantum thick morphisms' defined here as particular oscillatory integral operators on functions.

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