Torsion of Quasi-Isomorphisms
| dc.creator | Chung, Jae-Wook | |
| dc.creator | Lin, Xiao-Song | |
| dc.date | 2006-08-18 | |
| dc.date | 2006-08-29 | |
| dc.date.accessioned | 2026-07-07T07:21:55Z | |
| dc.date.available | 2026-07-07T07:21:55Z | |
| dc.description | In this paper, we introduce the notion of Reidemeister torsion for quasi-isomorphisms of based chain complexes over a field. We call a chain map a quasi-isomorphism if its induced homomorphism between homology is an isomorphism. Our notion of torsion generalizes the torsion of acyclic based chain complexes, and is a chain homotopy invariant on the collection of all quasi-isomorphisms from a based chain complex to another. It shares nice properties with torsion of acyclic based chain complexes, like multiplicativity and duality. We will further generalize our torsion to quasi-isomorphisms between free chain complexes over a ring under some mild condition. We anticipate that the study of torsion of quasi-isomorphisms will be fruitful in many directions, and in particular, in the study of links in 3-manifolds. | |
| dc.description | Small changes in exposition are made in a few places | |
| dc.identifier | https://arxiv.org/abs/math/0608459 | |
| dc.identifier | http://arxiv.org/abs/math/0608459 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115470 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Geometric Topology | |
| dc.title | Torsion of Quasi-Isomorphisms | |
| dc.type | text |