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

Carmen Caprau; David Heywood; Dionne Ibarra

doi:10.2140/involve.2014.7.547

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arXiv · 1304.4665

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

Carmen Caprau·David Heywood·Dionne Ibarra

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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.

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Carmen Caprau, David Heywood, Dionne Ibarra. 2013-04-17. On a state model for the SO(2n) Kauffman polynomial. https://doi.org/10.2140/involve.2014.7.547

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