On a state model for the SO(2n) Kauffman polynomial

Authors :: Carmen Caprau
Dionne Ibarra
David Heywood
Source :: Involve, a Journal of Mathematics. 7:547-563
Publication Year :: 2014
Publisher :: Mathematical Sciences Publishers, 2014.
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.<br />Comment: 14 pages, many figures