Euler structures, the variety of representations and the Milnor-Turaev torsion
| dc.creator | Burghelea, Dan | |
| dc.creator | Haller, Stefan | |
| dc.date | 2003-10-10 | |
| dc.date | 2009-03-01 | |
| dc.date.accessioned | 2026-07-07T12:47:20Z | |
| dc.date.available | 2026-07-07T12:47:20Z | |
| dc.description | In this paper we extend and Poincare dualize the concept of Euler structures, introduced by Turaev for manifolds with vanishing Euler-Poincare characteristic, to arbitrary manifolds. We use the Poincare dual concept, co-Euler structures, to remove all geometric ambiguities from the Ray-Singer torsion by providing a slightly modified object which is a topological invariant. We show that when the co-Euler structure is integral then the modified Ray-Singer torsion when regarded as a function on the variety of generically acyclic complex representations of the fundamental group of the manifold is the absolute value of a rational function which we call in this paper the Milnor-Turaev torsion. | |
| dc.description | This is the version published by Geometry & Topology on 16 September 2006 | |
| dc.identifier | https://arxiv.org/abs/math/0310154 | |
| dc.identifier | http://arxiv.org/abs/math/0310154 | |
| dc.identifier | Geom. Topol. 10 (2006) 1185-1238 | |
| dc.identifier | doi:10.2140/gt.2006.10.1185 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221689 | |
| dc.subject | Differential Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 57R20, 58J52 | |
| dc.title | Euler structures, the variety of representations and the Milnor-Turaev torsion | |
| dc.type | text |