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- W2321810895 abstract "Abstract We establish a formula for the variation of integrals of differential forms on cubic chains in the context of diffeological spaces. Then we establish the diffeological version of Stokes’ theorem, and we apply that to get the diffeological variant of the Cartan–Lie formula. Still in the context of Cartan–De Rham calculus in diffeology, we construct a chain-homotopy operator K , and we apply it here to get the homotopic invariance of De Rham cohomology for diffeological spaces. This is the chain-homotopy operator that is used in symplectic diffeology to construct the moment map." @default.
- W2321810895 created "2016-06-24" @default.
- W2321810895 creator A5025628626 @default.
- W2321810895 date "2013-12-01" @default.
- W2321810895 modified "2023-09-27" @default.
- W2321810895 title "Variations of Integrals in Diffeology" @default.
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- W2321810895 doi "https://doi.org/10.4153/cjm-2012-044-5" @default.
- W2321810895 hasPublicationYear "2013" @default.
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