Some notes on analytic torsion of the Rumin complex on contact manifolds
| dc.creator | Seshadri, Neil | |
| dc.date | 2007-04-16 | |
| dc.date | 2008-02-04 | |
| dc.date.accessioned | 2026-07-07T09:18:05Z | |
| dc.date.available | 2026-07-07T09:18:05Z | |
| dc.description | We propose a definition for analytic torsion of the Rumin complex on contact manifolds. This is given by the derivative at zero of a well-chosen combination of zeta functions of a fourth-order modified Rumin Laplacian. The regular value at zero (before differentiation) of this well-chosen combination of zeta functions is shown to be a contact invariant. The variation of our analytic torsion is given as the integral of local terms, together with a global term coming from the null-space of the Laplacian. | |
| dc.description | This paper has been withdrawn by the author, due a crucial error on page 8. A corrected and extended version of this paper appears at arXiv:0802.0123 | |
| dc.identifier | https://arxiv.org/abs/0704.1982 | |
| dc.identifier | http://arxiv.org/abs/0704.1982 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153900 | |
| dc.subject | Differential Geometry | |
| dc.title | Some notes on analytic torsion of the Rumin complex on contact manifolds | |
| dc.type | text |