Integration on noncompact supermanifolds

1987/01/01 by Mitchell J. Rothstein, Mitchell Rothstein · 79 citations
Mathematics · #Algebraic Geometry and Number Theory #Boundary (topology) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Pure mathematics #Supermanifold #Transformation (genetics)

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

published in Transactions of the American Mathematical Society 299(1), 387-396 (American Mathematical Society)

openalex publication_date 1987/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21

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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