Published January 1996
| Version v1
Journal article
A contribution of the trivial connection to the Jones polynomial and Witten's invariant of 3d manifolds. Pt. 2
Description
We extend the results of our previous paper (Commun. Math. Phys., 175 (1996), 275) from knots to links by using a formula for the Jones polynomial of a link derived recently by N. Reshetikhin. We establish a relation between the parameters of this formula and the multivariable Alexander polynomial. This relation is illustrated by an example of a torus link. We check that our expression for the Alexander polynomial satisfies some of its basic properties. Finally we derive a link surgery formula for the loop corrections to the trivial connection contribution to Witten's invariant of rational homology spheres. (orig.)
Additional details
Publishing Information
- Journal Title
- Communications in Mathematical Physics
- Journal Volume
- 175
- Journal Issue
- 2
- Journal Page Range
- p. 297-318.
- ISSN
- 0010-3616
- CODEN
- CMPHAY
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 27023500
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- CORRECTIONS; INVARIANCE PRINCIPLES; POLYNOMIALS; SMOOTH MANIFOLDS; THREE-DIMENSIONAL CALCULATIONS; TOPOLOGY; UNIFIED GAUGE MODELS
- Descriptors DEC
- FIELD THEORIES; FUNCTIONS; MATHEMATICAL MANIFOLDS; MATHEMATICAL MODELS; MATHEMATICS; PARTICLE MODELS; QUANTUM FIELD THEORY