Invariants of Boundary Link Cobordism II. The Blanchfield-Duval Form
| dc.creator | Sheiham, Desmond | |
| dc.date | 2004-04-12 | |
| dc.date | 2004-07-29 | |
| dc.date.accessioned | 2026-07-07T05:07:23Z | |
| dc.date.available | 2026-07-07T05:07:23Z | |
| dc.description | We use the Blanchfield-Duval form to define complete invariants for the cobordism group C_{2q-1}(F_μ) of (2q-1)-dimensional μ-component boundary links (for q\geq2). The author solved the same problem in math.AT/0110249 via Seifert forms. Although Seifert forms are convenient in explicit computations, the Blanchfield-Duval form is more intrinsic and appears naturally in homology surgery theory. The free cover of the complement of a link is constructed by pasting together infinitely many copies of the complement of a μ-component Seifert surface. We prove that the algebraic analogue of this construction, a functor denoted B, identifies the author's earlier invariants with those defined here. We show that B is equivalent to a universal localization of categories and describe the structure of the modules sent to zero. Taking coefficients in a semi-simple Artinian ring, we deduce that the Witt group of Seifert forms is isomorphic to the Witt group of Blanchfield-Duval forms. | |
| dc.description | 77 pages, LaTeX. One figure compiles with dratex.sty (package included). This version has minor corrections | |
| dc.identifier | https://arxiv.org/abs/math/0404229 | |
| dc.identifier | http://arxiv.org/abs/math/0404229 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70839 | |
| dc.subject | Algebraic Topology | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 18F25; 57Q45; 57Q60; 16S10 | |
| dc.title | Invariants of Boundary Link Cobordism II. The Blanchfield-Duval Form | |
| dc.type | text |