On the Kontsevich-Kuperberg-Thurston construction of a configuration-space invariant for rational homology 3-spheres
| dc.creator | Lescop, Christine | |
| dc.date | 2004-11-04 | |
| dc.date.accessioned | 2026-07-07T05:13:58Z | |
| dc.date.available | 2026-07-07T05:13:58Z | |
| dc.description | M. Kontsevich proposed a topological construction for an invariant Z of rational homology 3-spheres using configuration space integrals. G. Kuperberg and D. Thurston proved that Z is a universal real finite type invariant for integral homology spheres in the sense of Ohtsuki, Habiro and Goussarov. We review the Kontsevich-Kuperberg-Thurston construction and we provide detailed and elementary proofs for the invariance of Z. This article is the preliminary part of a work that aims to prove splitting formulae for this powerful invariant of rational homology spheres. It contains the needed background for the proof that will appear in the second part. | |
| dc.description | LaTex, 71 pages, uses pstricks. Second version of Prepub. Institut Fourier 655 (New title, minor modifications in the abstract and in the introduction.) | |
| dc.identifier | https://arxiv.org/abs/math/0411088 | |
| dc.identifier | http://arxiv.org/abs/math/0411088 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73104 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M27 (Primary); 55R80, 57N10, 57R20 (Secondary) | |
| dc.title | On the Kontsevich-Kuperberg-Thurston construction of a configuration-space invariant for rational homology 3-spheres | |
| dc.type | text |