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De Rham cohomology of diffeological spaces and foliations

✍ Scribed by G. Hector; E. Macías-Virgós; E. Sanmartín-Carbón


Book ID
113657035
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
194 KB
Volume
21
Category
Article
ISSN
0019-3577

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De Rham Cohomology of Configuration Spac
✍ Sergio Albeverio; Alexei Daletskii; Eugene Lytvynov 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 252 KB

The space 1 X of all locally finite configurations in a Riemannian manifold X of infinite volume is considered. The deRham complex of square-integrable differential forms over 1 X , equipped with the Poisson measure, and the corresponding deRham cohomology are studied. The latter is shown to be unit