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
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.
|Institution:||The University of York|
|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|
|Publisher:||Elsevier Science B.V. Amsterdam|