✦ LIBER ✦
De Rham Cohomology of Configuration Spaces with Poisson Measure
✍ Scribed by Sergio Albeverio; Alexei Daletskii; Eugene Lytvynov
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 252 KB
- Volume
- 185
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
✦ Synopsis
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 unitarily isomorphic to a certain Hilbert tensor algebra generated by the L 2 -cohomology of the underlying manifold X.