Melvin-Morton conjecture and primitive Feynman diagrams

Details Melvin-Morton conjecture and primitive Feynman diagrams Melvin-Morton conjecture and primitive Feynman diagrams

1996-05-17

arxiv.org/abs/q-alg/9605028v1

Mathematics

Quantum Algebra

17 pages, LaTeX 2.09 with bezier.sty

Scientific paper

We give a very short proof of the Melvin-Morton conjecture relating the colored Jones polynomial and the Alexander polynomial of knots. The proof is based on the explicit evaluation of the corresponding weight systems on primitive elements of the Hopf algebra of chord diagrams which, in turn, follows from simple identities between four-valent tensors on the Lie algebra $sl_2$ and the Lie superalgebra $gl(1|1)$. This shows that the miraculous connection between the Jones and Alexander invariants follows from the similarity (supersymmetry) between $sl_2$ and $gl(1|1)$.

Affiliated with

Also associated with

No associations

Rating

Melvin-Morton conjecture and primitive Feynman diagrams 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 Melvin-Morton conjecture and primitive Feynman diagrams, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Melvin-Morton conjecture and primitive Feynman diagrams will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-719856