Combinatorial invariants computing the Ray-Singer analytic torsion
| dc.creator | Farber, Michael | |
| dc.date | 1996-07-01 | |
| dc.date.accessioned | 2026-07-07T09:12:48Z | |
| dc.date.available | 2026-07-07T09:12:48Z | |
| dc.description | It is shown that for any piecewise-linear closed orientable manifold of odd dimension there exists an invariantly defined metric on the determinant line of cohomology with coefficients in an arbitrary flat bundle E over the manifold (E is not required to be unimodular). The construction of this metric (called Poincare - Reidemeister metric) is purely combinatorial; it combines the standard Reidemeister type construction with Poincare duality. The main result of the paper states that the Poincare-Reidemeister metric computes combinatorially the Ray-Singer metric. It is shown also that the Ray-Singer metrics on some relative determinant lines can be computed combinatorially (including the even-dimensional case) in terms of metrics determined by correspondences. | |
| dc.description | Amstex, 19 pages, to appear in "Differential Geometry and Applications" | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9606014 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9606014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152147 | |
| dc.subject | Differential Geometry | |
| dc.title | Combinatorial invariants computing the Ray-Singer analytic torsion | |
| dc.type | text |