Cyclic branched covers of alternating knots

2020/06/23 by Paoluzzi, Luisa
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2006.12922

Abstract

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.

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