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Integration on noncompact supermanifolds

1987/01/01 by Mitchell J. Rothstein, Mitchell Rothstein · 3 citations
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Algebraic Geometry and Number Theory

paper · pdf · doi:10.1090/s0002-9947-1987-0869418-5

Abstract

We note that the Berezin integral, which is ill-defined for noncompact supermanifolds, is a distribution with support on the underlying manifold. This leads to the discovery of correction terms in the Berezinian transformation law and thereby eliminates the boundary ambiguities.

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