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

Creators

  • 1. Miami Univ., Coral Gables, FL (United States). Dept. of Physics

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