Polynomials of equivariantly slice knots

Jonathan A. Hillman


We show that if K is a knot with semifree period q and which is equivariantly slice then the Murasugi polynomial \DeltaZ/qZ(K) may be expressed as a quotient a‾{a}/q2n for some a∈\Bbb{Z}[t,t-1,u]/(uq-1) and n≥0.

Keywords: Alexander polynomial. concordance. equivariant. knot. Murasugi polynomial. ribbon. slice.

AMS Subject Classification: Primary 57M25.

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Date:Wednesday, March 3, 2004