Finite type invariants of cyclic branched covers
| dc.creator | Garoufalidis, Stavros | |
| dc.creator | Kricker, Andrew | |
| dc.date | 2001-07-30 | |
| dc.date | 2003-10-14 | |
| dc.date.accessioned | 2026-07-07T04:42:47Z | |
| dc.date.available | 2026-07-07T04:42:47Z | |
| dc.description | Updated rerefences and introduction. Given a knot in an integer homology sphere, one can construct a family of closed 3-manifolds (parametrized by the positive integers), namely the cyclic branched coverings of the knot. In this paper we give a formula for the the Casson-Walker invariants of these 3-manifolds in terms of residues of a rational function (which measures the 2-loop part of the Kontsevich integral of a knot) and the signature function of the knot. Our main result actually computes the LMO invariant of cyclic branched covers in terms of a rational invariant of the knot and its signature function. Revised version. | |
| dc.description | LaTeX, 28 pages with 22 figures | |
| dc.identifier | https://arxiv.org/abs/math/0107220 | |
| dc.identifier | http://arxiv.org/abs/math/0107220 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61933 | |
| dc.subject | Geometric Topology | |
| dc.subject | Quantum Algebra | |
| dc.title | Finite type invariants of cyclic branched covers | |
| dc.type | text |