An analytic Approach to Turaev's Shadow Invariant

Details An analytic Approach to Turaev's Shadow Invariant An analytic Approach to Turaev's Shadow Invariant

2005-07-17

arxiv.org/abs/math-ph/0507040v7

J. Knot Theory Ramifications 17(11):1327-1385, 2008

Physics

Mathematical Physics

44 pages, 2 figures. Changes have been made in Sec. 2.3, Sec 2.4, Sec. 3.4, and Sec. 3.5. Appendix C is new

Scientific paper

10.1142/S021821650800666X

In the present paper we extend the "torus gauge fixing approach" by Blau and Thompson (Nucl. Phys. B408(1):345--390, 1993) for Chern-Simons models with base manifolds M of the form M= \Sigma x S^1 in a suitable way. We arrive at a heuristic path integral formula for the Wilson loop observables associated to general links in M. We then show that the right-hand side of this formula can be evaluated explicitly in a non-perturbative way and that this evaluation naturally leads to the face models in terms of which Turaev's shadow invariant is defined.

Affiliated with

Also associated with

No associations

Rating

An analytic Approach to Turaev's Shadow Invariant does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An analytic Approach to Turaev's Shadow Invariant, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An analytic Approach to Turaev's Shadow Invariant will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-396702