A homological definition of the Jones polynomial
| dc.creator | Bigelow, Stephen | |
| dc.date | 2002-01-23 | |
| dc.date | 2002-11-15 | |
| dc.date.accessioned | 2026-07-07T04:46:04Z | |
| dc.date.available | 2026-07-07T04:46:04Z | |
| dc.description | We give a new definition of the Jones polynomial. Let L be an oriented knot or link obtained as the plat closure of a braid beta in B_{2n}. We define a covering space tilde{C} of the space of unordered n-tuples of distinct points in the 2n-punctured disk. We then describe two n-manifolds tilde{S} and tilde{T} in tilde{C}, and show that the Jones polynomial of L can be defined as an intersection pairing between tilde{S} and beta tilde{T}. Our construction is similar to one given by Lawrence, but more concrete. | |
| dc.description | Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper3.abs.html | |
| dc.identifier | https://arxiv.org/abs/math/0201221 | |
| dc.identifier | http://arxiv.org/abs/math/0201221 | |
| dc.identifier | Geom. Topol. Monogr. 4 (2002) 29-41 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63185 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25, 57M27, 20F36 | |
| dc.title | A homological definition of the Jones polynomial | |
| dc.type | text |