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A Prime Strongly Positive Amphicheiral Knot Which Is Not Slice, Erica Flapan
A Prime Strongly Positive Amphicheiral Knot Which Is Not Slice, Erica Flapan
Pomona Faculty Publications and Research
We begin by giving several definitions. A knot K in S3 is said to be amphicheiral if there is an orientation-reversing diffeomorphism h of S3 which leaves K setwise invariant. Suppose, in addition, that K is given an orientation. ThenK is said to be positive amphicheiral if h preserves the orientation of K. If, in addition, the diffeomorphism h is an involution then K is strongly positive amphicheiral. Finally, we say a knot is slice if it bounds a smooth disc in B4. In this note we shall give a smooth example of …