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.

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Bibliographic Details
Published in:	Annales Henri Lebesgue Vol. 4; pp. 811 - 830
Main Author:	Paoluzzi, Luisa
Format:	Journal Article
Language:	English
Published:	UFR de Mathématiques - IRMAR 26-08-2021
Subjects:	Geometric Topology Mathematics Alternating knots cyclic branched covers of knots periodic symmetries of knots prime knots
Online Access:	Get full text
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Description
Summary:	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.
ISSN:	2644-9463 2644-9463
DOI:	10.5802/ahl.89