Cyclic branched covers of alternating knots
Cyclic branched covers of alternating knots
For any integer n>2, the n-fold cyclic branched cover M of an alternating prime knot K in the 3-sphere determines K, meaning that if K ′ is a knot in the 3-sphere that is not equivalent to K then its n-fold cyclic branched cover cannot be homeomorphic to M.