Room 722, Institute of Mathematics, Academia Sinica
(中研院數學所 722室)
On the Topology of the Coefficients of the Alexander-Conway Polynomial of Knots
C. Michael Tsau (Saint Louis University)
Abstract
Using a special form of spanning surface for a knot, we give a formula for the coefficient of the -term of the Alexander-Conway polynomial in terms of the sum of determinants of the blocks of 2x2 submatrices of the Seifert matrix, from which the topological meaning of the coefficient is revealed.