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On a state model
for the $\mathrm{SO}(2n)$ Kauffman polynomial
Carmen Caprau, David Heywood and Dionne Ibarra
Vol. 7 (2014), No. 4, 547–563
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Abstract |
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François Jaeger presented the two-variable Kauffman polynomial of an unoriented link as a weighted sum of HOMFLY-PT polynomials of oriented links associated with . Murakami, Ohtsuki and Yamada (MOY) used planar graphs and a recursive evaluation of these graphs to construct a state model for the -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 Kauffman polynomial. |
Keywords
graphs, invariants for knots and links, Kauffman polynomial
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Mathematical Subject Classification 2010
Primary: 57M27
Secondary: 57M27, 57M15
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Milestones
Received: 10 April 2013
Revised: 24 October 2013
Accepted: 27 October 2013
Published: 31 May 2014
Communicated by Colin Adams
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Authors |
| Carmen Caprau | |
| Department of Mathematics California State University, Fresno 5245 N. Backer Avenue M/S PB108 Fresno, CA 93740-8001 United States |
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| David Heywood | |
| Department of Mathematics California State University, Fresno 5245 N. Backer Avenue M/S PB108 Fresno, CA 93740-8001 United States |
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| Dionne Ibarra | |
| Department of Mathematics California State University, Fresno 5245 N. Backer Avenue M/S PB108 Fresno, CA 93740-8001 United States |
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