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A state model for the
multivariable Alexander polynomial
Jun Murakami |
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Vol. 157 (1993), No. 1, 109–135
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Abstract |
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We construct a vertex type state model in Turaev’s sense for the multi-variable (non-reduced) Alexander polynomial. Our model is a colored version of the 6-vertex free fermion model. To show the correspondence of our model and the multi-variable Alexander polynomial, we introduce colored braid groups and their Magnus representations. By using this model, a new set of axioms for the multi-variable Alexander polynomial is obtained. |
Mathematical Subject Classification 2000
Primary: 57M25
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Milestones
Received: 19 August 1990
Revised: 31 August 1991
Published: 1 January 1993
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Authors |
| Jun Murakami | |
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