De Rham theorem for extended L^2-cohomology
| dc.creator | Shubin, Mikhail | |
| dc.date | 1996-10-11 | |
| dc.date | 1996-12-01 | |
| dc.date.accessioned | 2026-07-07T09:02:50Z | |
| dc.date.available | 2026-07-07T09:02:50Z | |
| dc.description | We prove an analogue of the de Rham theorem for the extended L^2-cohomology introduced by M. Farber. This is done by establishing that the de Rham complex over a compact closed manifold with coefficients in a flat Hilbert bundle E of A-modules over a finite von Neumann algebra A is chain-homotopy equivalent (with bounded morphisms and homotopy operators) to a combinatorial complex with the same coefficients. This is established by using the Witten deformation of the de Rham complex. We also prove that the de Rham complex is chain-homotopy equivalent to the spectrally truncated de Rham complex which is also finitely generated. | |
| dc.description | 16 pages, author-supplied file available at ftp://ftp.math.neu.edu/Pub/faculty/Shubin_Mikhail/papers/DR19.tex This is a slight revision -- some references are added AMSTeX v 2.1 | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9610007 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9610007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148779 | |
| dc.subject | Differential Geometry | |
| dc.subject | 14F40, 46M20, 55N35 (Primary) | |
| dc.title | De Rham theorem for extended L^2-cohomology | |
| dc.type | text |