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The Topology of the Coefficients of the Alexander-Conway Polynomials

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Michael Tsau, Saint Louis University

What
  • Topology Seminar
When Tue, Oct 01, 2013
from 02:00 PM to 03:00 PM
Where Ritter Hall 223
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Abstract:

(Part II)

We give a formula for the coefficient of the z^2-term of the Alexander-Conway polynomial of any oriented knot K in terms of the sum of determinants of the blocks of 2 × 2 sub-matrices of the Seifert matrix of K, where each determinant represents a self-linking in an explicit way, and therefore the coefficient gives a measure of self-linking of K in that sense. The method used in this paper can be generalized to give a formula for the general coefficients of the Alexander-Conway polynomial for any oriented link L, and the results are forthcoming.

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