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Generalized Alexander Polynomial

The generalized Alexander polynomial is an invariant of virtual knots/links up to factors of +/- s and t, as described by Louis Kauffman and David E. Radford in Bi-oriented Quantum Algebras, and a Generalized Alexander Polynomial for Virtual Links, arXiv:math.GT/0112280.

Behaviour on Mirror Images and Inverses

Under inversion and horizontal mirror images, s goes to s-1 and t goes to t-1. Under vertical mirror images, s goes to t and t goes to s.