Geodesic
Signatures of Covering Links
Canadian journal of mathematics, Tome 33 (1981) no. 2, pp. 381-394

Voir la notice de l'article provenant de la source Cambridge University Press

A (tame) knot kn in S 3 is said to have period n if there exists a homeomorphism φ: S 3 → S 3, necessarily orientationpreserving, such that (i) the fixed point set of φ is a circle disjoint from kn (ii) φ(kn) = kn; (iii) φ has order n. Several necessary conditions for a knot to have period n have already been established in the literature; see [3] [11] [14] [18]. Here we establish the following further condition, involving the signature σ(kn ) of (kn ). 
Gordon, C. Mca.; Litherland, R. A.; Murasugi, K. Signatures of Covering Links. Canadian journal of mathematics, Tome 33 (1981) no. 2, pp. 381-394. doi: 10.4153/CJM-1981-032-3
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