On a state model for the SO(2n) Kauffman polynomial
Geometric Topology
2015-04-01 v1
Abstract
F. Jaeger presented the two-variable Kauffman polynomial of an unoriented link L as a weighted sum of HOMFLY-PT polynomials of oriented links associated with L. Murakami, Ohtsuki and Yamada (MOY) used planar graphs and a recursive evaluation of these graphs to construct a state model for the sl(n)-link invariant (a one-variable specialization of the HOMFLY-PT polynomial). We apply the MOY framework to Jaeger's work, and construct a state summation model for the SO(2n) Kauffman polynomial.
Cite
@article{arxiv.1304.4665,
title = {On a state model for the SO(2n) Kauffman polynomial},
author = {Carmen Caprau and David Heywood and Dionne Ibarra},
journal= {arXiv preprint arXiv:1304.4665},
year = {2015}
}
Comments
14 pages, many figures