Ray-Singer Type Theorem for the Refined Analytic Torsion
| dc.creator | Braverman, Maxim | |
| dc.creator | Kappeler, Thomas | |
| dc.date | 2006-03-28 | |
| dc.date | 2006-10-17 | |
| dc.date.accessioned | 2026-07-07T07:07:16Z | |
| dc.date.available | 2026-07-07T07:07:16Z | |
| dc.description | We show that the refined analytic torsion is a holomorphic section of the determinant line bundle over the space of complex representations of the fundamental group of a closed oriented odd dimensional manifold. Further, we calculate the ratio of the refined analytic torsion and the Farber-Turaev combinatorial torsion. As an application, we establish a formula relating the eta-invariant and the phase of the Farber-Turaev torsion, which extends a theorem of Farber and earlier results of ours. This formula allows to study the spectral flow using methods of combinatorial topology. | |
| dc.description | To appear in Journal of Functional Analysis The definition of the refined torsion was slightly changed, which made it more invariant, some references and remarks are added | |
| dc.identifier | https://arxiv.org/abs/math/0603638 | |
| dc.identifier | http://arxiv.org/abs/math/0603638 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110330 | |
| dc.subject | Differential Geometry | |
| dc.subject | Mathematical Physics | |
| dc.subject | Geometric Topology | |
| dc.title | Ray-Singer Type Theorem for the Refined Analytic Torsion | |
| dc.type | text |