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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Integration on noncompact supermanifolds


Author: Mitchell J. Rothstein
Journal: Trans. Amer. Math. Soc. 299 (1987), 387-396
MSC: Primary 58C50; Secondary 58A50
DOI: https://doi.org/10.1090/S0002-9947-1987-0869418-5
MathSciNet review: 869418
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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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DOI: https://doi.org/10.1090/S0002-9947-1987-0869418-5
Article copyright: © Copyright 1987 American Mathematical Society