A state model for the multivariable Alexander polynomial

• DOI: 10.2140/pjm.1993.157.109
• Publication Date: 2012-12-08T03:18:56Z
• Authors: Jun Murakami
• Keywords: Alexander polynomial; Colored

We construct a vertex type state model in Turaev's sense for the multi-variable (non-reduced) Alexander polynomial.Our is colored version of 6-vertex free fermion model.To show correspondence our and polynomial, we introduce braid groups their Magnus representations.By using this model, new set axioms polynomial obtained.