On the quantum sl_2 invariants of knots and integral homology spheres
| dc.creator | Habiro, Kazuo | |
| dc.date | 2002-11-04 | |
| dc.date.accessioned | 2026-07-07T04:52:37Z | |
| dc.date.available | 2026-07-07T04:52:37Z | |
| dc.description | We will announce some results on the values of quantum sl_2 invariants of knots and integral homology spheres. Lawrence's universal sl_2 invariant of knots takes values in a fairly small subalgebra of the center of the h-adic version of the quantized enveloping algebra of sl_2. This implies an integrality result on the colored Jones polynomials of a knot. We define an invariant of integral homology spheres with values in a completion of the Laurent polynomial ring of one variable over the integers which specializes at roots of unity to the Witten-Reshetikhin-Turaev invariants. The definition of our invariant provides a new definition of Witten-Reshetikhin-Turaev invariant of integral homology spheres. | |
| dc.description | Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper5.abs.html | |
| dc.identifier | https://arxiv.org/abs/math/0211044 | |
| dc.identifier | http://arxiv.org/abs/math/0211044 | |
| dc.identifier | Geom. Topol. Monogr. 4 (2002) 55-68 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65528 | |
| dc.subject | Geometric Topology | |
| dc.subject | Quantum Algebra | |
| dc.subject | 57M27, 17B37 | |
| dc.title | On the quantum sl_2 invariants of knots and integral homology spheres | |
| dc.type | text |