Orthogonal Quantum Group Invariants of Links

Details Orthogonal Quantum Group Invariants of Links Orthogonal Quantum Group Invariants of Links

2010-07-09

arxiv.org/abs/1007.1656v1

Mathematics

Quantum Algebra

51 pages, 7 figures

Scientific paper

We study the Chern-Simons partition function of orthogonal quantum group invariants, and propose a new orthogonal Labastida-Mari\~{n}o-Ooguri-Vafa conjecture as well as degree conjecture for free energy associated to the orthogonal Chern-Simons partition function. We prove the degree conjecture and some interesting cases of orthogonal LMOV conjecture. In particular, We provide a formula of colored Kauffman polynomials for torus knots and links, and applied this formula to verify certain case of the conjecture at roots of unity except $1$. We also derive formulas of Lickorish-Millett type for Kauffman polynomials and relate all these to the orthogonal LMOV conjecture.

Affiliated with

Also associated with

No associations

Rating

Orthogonal Quantum Group Invariants of Links 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 Orthogonal Quantum Group Invariants of Links, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Orthogonal Quantum Group Invariants of Links will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-645732