De Rham cohomology of configuration spaces with Poisson measure

被引：12
|
作者：
Albeverio, S
Daletskii, A
Lytvynov, E
机构：
[1] Univ Bonn, Inst Angew Math, D-53115 Bonn, Germany
[2] SFB 237, Bochum, Germany
[3] Univ Bonn, SFB 256, D-53115 Bonn, Germany
[4] CERFIM Locarno, Locarno, Switzerland
[5] Univ Bielefeld, BiBoS, D-4800 Bielefeld, Germany
[6] Ukrainian Acad Sci, Inst Math, Kiev, Ukraine
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2001年 / 185卷 / 01期
关键词：
D O I：
10.1006/jfan.2001.3766
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The space Gamma (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 Gamma (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, (C) 2001 Academic Press.
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页码：240 / 273
页数：34
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