Document Type



Mathematics (Pomona)

Publication Date



knot, amphicheiral, diffeomorphism


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 a prime strongly positive amphicheiral knot which is not slice.

Rights Information

© 1986 Cambridge Philosophical Society

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Included in

Mathematics Commons