Approximating L^2 invariants of amenable covering spaces: A heat kernel approach
| dc.creator | Dodziuk, Jozef | |
| dc.creator | Mathai, Varghese | |
| dc.date | 1996-09-06 | |
| dc.date | 1996-09-16 | |
| dc.date.accessioned | 2026-07-07T09:02:50Z | |
| dc.date.available | 2026-07-07T09:02:50Z | |
| dc.description | In this paper, we prove that the L^2 Betti numbers of an amenable covering space can be approximated by the average Betti numbers of a regular exhaustion, under some hypotheses. We also prove that some L^2 spectral invariants can be approximated by the corresponding average spectral invariants of a regular exhaustion. The main tool which is used is a generalisation of the "principle of not feeling the boundary" (due to M. Kac), for heat kernels associated to boundary value problems. | |
| dc.description | 14 pages, AMS-LaTeX, replaces an earlier version and contains a much strengthened version of one of the main results. 1991 Mathematics Subject Classification. 58G11, 58G18, 58G25 | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9609002 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9609002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148775 | |
| dc.subject | Differential Geometry | |
| dc.title | Approximating L^2 invariants of amenable covering spaces: A heat kernel approach | |
| dc.type | text |