Absolute torsion and eta-invariant
| dc.creator | Farber, Michael | |
| dc.date | 1999-03-23 | |
| dc.date.accessioned | 2026-07-07T06:33:01Z | |
| dc.date.available | 2026-07-07T06:33:01Z | |
| dc.description | In a recent joint work with V. Turaev (cf. math.DG/9810114) we defined a new concept of combinatorial torsion which we called absolute torsion. Compared with the classical Reidemeister torsion it has the advantage of having a well-defined sign. Also, the absolute torsion is defined for arbitrary orientable flat vector bundles, and not only for unimodular ones, as is classical Reidemeister torsion. In this paper I show that the sign behavior of the absolute torsion, under a continuous deformation of the flat bundle, is determined by the eta-invariant and the Pontrjagin classes. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/9903141 | |
| dc.identifier | http://arxiv.org/abs/math/9903141 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99053 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Topology | |
| dc.title | Absolute torsion and eta-invariant | |
| dc.type | text |