The Trivial Connection Contribution to Witten's Invariant and Finite Type Invariants of Rational Homology Spheres

Details The Trivial Connection Contribution to Witten's Invariant and Finite Type Invariants of Rational Homology Spheres The Trivial Connection Contribution to Witten's Invariant and Finite Type Invariants of Rational Homology Spheres

1995-03-21

arxiv.org/abs/q-alg/9503011v4

Physics

High Energy Physics

High Energy Physics - Theory

38 pages, 6 figures, LaTeX. Some results about loop corrections to invariants of manifolds as Vassiliev invariants of knots ar

Scientific paper

We derive an analog of Melvin-Morton bound on the power series expansion of Jones polynomial of algebraically split links and boundary links. This allows us to produce a simple formula for the trivial connection contribution to Witten's invariant of rational homology spheres. We show that the n-th term in the 1/K expansion of the logarithm of this contribution is a finite type invariant of Ohtsuki order 3n and of at most Garoufalidis order n. This result is a manifold counterpart of the statement that n-th derivative of the Jones polynomial is Vassiliev's invariant of order n.

Affiliated with

Also associated with

No associations

Rating

The Trivial Connection Contribution to Witten's Invariant and Finite Type Invariants of Rational Homology Spheres 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 The Trivial Connection Contribution to Witten's Invariant and Finite Type Invariants of Rational Homology Spheres, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Trivial Connection Contribution to Witten's Invariant and Finite Type Invariants of Rational Homology Spheres will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-347293