A Refinement of the Ray-Singer Torsion
| dc.creator | Braverman, Maxim | |
| dc.creator | Kappeler, Thomas | |
| dc.date | 2005-09-24 | |
| dc.date.accessioned | 2026-07-07T06:19:09Z | |
| dc.date.available | 2026-07-07T06:19:09Z | |
| dc.description | This is a short version of math.DG/0505537. For an acyclic representation of the fundamental group of a compact oriented odd-dimensional manifold, which is close enough to a unitary representation, we define a refinement of the Ray-Singer torsion associated to this representation. This new invariant can be viewed as an analytic counterpart of the refined combinatorial torsion introduced by Turaev. The refined analytic torsion is a holomorphic function of the representation of the fundamental group. When the representation is unitary, the absolute value of the refined analytic torsion is equal to the Ray-Singer torsion, while its phase is determined by the eta-invariant. The fact that the Ray-Singer torsion and the eta-invariant can be combined into one holomorphic function allows to use methods of complex analysis to study both invariants. | |
| dc.description | 6 pages, to apper in Comptes rendus Acad. Sci. Paris | |
| dc.identifier | https://arxiv.org/abs/math/0509578 | |
| dc.identifier | http://arxiv.org/abs/math/0509578 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94979 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Geometric Topology | |
| dc.title | A Refinement of the Ray-Singer Torsion | |
| dc.type | text |