Twisted L^2 invariants of non-simply connected manifolds
| dc.creator | Mathai, Varghese | |
| dc.creator | Shubin, Mikhail | |
| dc.date | 1996-10-29 | |
| dc.date.accessioned | 2026-07-07T09:12:53Z | |
| dc.date.available | 2026-07-07T09:12:53Z | |
| dc.description | We develop the theory of twisted L^2-cohomology and twisted spectral invariants for flat Hilbertian bundles over compact manifolds. They can be viewed as functions on the first de Rham cohomology of M and they generalize the standard notions. A new feature of the twisted L^2-cohomology theory is that in addition to satisfying the standard L^2 Morse inequalities, they also satisfy certain asymptotic L^2 Morse inequalities. These reduce to the standard Morse inequalities in the finite dimensional case, and when the Morse 1-form is exact. We define the extended twisted L^2 de Rham cohomology and prove the asymptotic L^2 Morse-Farber inequalities, which give quantitative lower bounds for the Morse numbers of a Morse 1-form on M. | |
| dc.description | AMS-LaTeX v1.2, 28 pages, to appear in special issue of Russ.Jour.of Math.Physics | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9610018 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9610018 | |
| dc.identifier | Russian Journal of Mathematical Physics, 4 (1996) 499-527 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152176 | |
| dc.subject | Differential Geometry | |
| dc.subject | 58 (Primary) | |
| dc.title | Twisted L^2 invariants of non-simply connected manifolds | |
| dc.type | text |