On the determination of knots by their cyclic unbranched coverings

Details On the determination of knots by their cyclic unbranched coverings On the determination of knots by their cyclic unbranched coverings

2007-03-09

arxiv.org/abs/math/0703268v3

Mathematics

Geometric Topology

this is the final version which appears in Rend. Istit. Mat. Univ. Trieste 39, 337-346 (2007)

Scientific paper

We show that, for any prime p, a knot K in the 3-sphere is determined by its
p-fold cyclic unbranched covering. We also investigate when the m-fold cyclic
unbranched covering of a knot coincides with the n-fold cyclic unbranched
covering of another knot, for different coprime integers m and n.

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