Polynomials of equivariantly slice knots

Jonathan A. Hillman

Abstract

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

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

AMS Subject Classification: Primary 57M25.