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arxiv: 1304.4665 · v1 · pith:LDCP3GKRnew · submitted 2013-04-17 · 🧮 math.GT

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

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keywords polynomialkauffmanmodelstateconstructgraphshomfly-ptjaeger
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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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