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• W3136123878 abstract "As the loop space of a Riemannian manifold is infinite-dimensional, it is a non-trivial problem to make sense of the “top degree component” of a differential form on it. In this paper, we show that a formula from finite dimensions generalizes to assign a sensible “top degree component” to certain composite forms, obtained by wedging with the exponential (in the exterior algebra) of the canonical presymplectic 2-form on the loop space. This construction is a crucial ingredient for the definition of the supersymmetric path integral on the loop space." @default.
• W3136123878 created "2021-03-29" @default.
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• W3136123878 date "2022-12-01" @default.
• W3136123878 modified "2023-09-26" @default.
• W3136123878 title "The fermionic integral on loop space and the Pfaffian line bundle" @default.
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• W3136123878 doi "https://doi.org/10.1063/5.0060355" @default.
• W3136123878 hasPublicationYear "2022" @default.
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