Branched cyclic covers and finite type invariants
| dc.creator | Kricker, Andrew | |
| dc.date | 2000-03-06 | |
| dc.date | 2000-07-08 | |
| dc.date.accessioned | 2026-07-07T04:34:13Z | |
| dc.date.available | 2026-07-07T04:34:13Z | |
| dc.description | This work identifies a class of moves on knots which translate to $m$-equivalences of the associated $p$-fold branched cyclic covers, for a fixed $m$ and any $p$ (with respect to the Goussarov-Habiro filtration.) These moves are applied to give a flexible (if specialised) construction of knots for which the Casson-Walker-Lescop invariant (for example) of their $p$-fold branched cyclic covers may be readily calculated, for any choice of $p$. In the second part of this paper, these operations are illustrated by some theorems concerning the relationship of knot invariants obtained from finite type three-manifold invariants, via the branched cyclic covering construction, with the finite type theory of knots. | |
| dc.description | 29 pages (22 + 7 pg app.), 2 eps figures, spelling mistake fixed | |
| dc.identifier | https://arxiv.org/abs/math/0003035 | |
| dc.identifier | http://arxiv.org/abs/math/0003035 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58816 | |
| dc.subject | Geometric Topology | |
| dc.subject | Quantum Algebra | |
| dc.title | Branched cyclic covers and finite type invariants | |
| dc.type | text |