Albeverio, S., Daletskii, A. and Lytvynov, E. (2002) De Rham cohomology of configuration spaces with Poisson measure. Journal of Functional Analysis, 185 (1). pp. 240-273. ISSN 0022-1236
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Published Version: http://dx.doi.org/10.1006/jfan.2001.3766
Abstract
The space ΓX of all locally finite configurations in a Riemannian manifold X of infinite volume is considered. The deRham complex of square-integrable differential forms over ΓX, 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 L2-cohomology of the underlying manifold X.
| Item Type: | Article |
|---|---|
| Academic Units: | The University of York > Mathematics (York) |
| Depositing User: | York RAE Import |
| Date Deposited: | 22 Apr 2009 09:10 |
| Last Modified: | 22 Apr 2009 09:10 |
| Published Version: | http://dx.doi.org/10.1006/jfan.2001.3766 |
| Status: | Published |
| Publisher: | Elsevier Science B.V. Amsterdam |
| Identification Number: | 10.1006/jfan.2001.3766 |
| URI: | http://eprints.whiterose.ac.uk/id/eprint/6679 |
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