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w-Knots, from Z to A
Dror Bar-Natan, University of Toronto
Bahen 6183, Tuesday May 18, 2010, 2-4PM
Abstract. I will define w-knots, a class of knots wider than ordinary knots but weaker than virtual knots, and show that it is quite easy to construct a universal finite invariant Z of w-knots. In order to study Z we will introduce the "Euler Operator" and the "Infinitesimal Alexander Module", at the end finding a simple determinant formula for Z. With no doubt that formula computes the Alexander polynomial A, except I don't have a proof yet.
See also Finite Type Invariants of w-Knotted Objects: From Alexander to Kashiwara and Vergne.