On π-Hyperbolic Knots which are Determined by their 2-Fold and 4-Fold Cyclic Branched Coverings

Authors

Michel Boileau
Erica Flapan, Pomona CollegeFollow

Document Type

Article

Department

Mathematics (Pomona)

Publication Date

1995

Keywords

Knots, Cyclic branched covering, Hyperbolic manifolds

Abstract

We give sufficient conditions for a π-hyperbolic knot to be determined, up to homeomorphism in S³, by the topological types of its 2-fold and 4-fold cyclic branched coverings. We obtain also sufficient conditions on a π-hyperbolic link to be determined by its 2-fold branched covering.

Rights Information

© 1995 Elsevier B.V.

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.1016/0166-8641(94)00041-Z

Recommended Citation

M. Boileau, E. Flapan, On π-hyperbolic knots which are determined by their 2-fold and 4-fold cyclic branched coverings, Topology and its Applications, Volume 61, Issue 3, 24 February 1995, Pages 229-240, ISSN 0166-8641, http://dx.doi.org/10.1016/0166-8641(94)00041-Z. (http://www.sciencedirect.com/science/article/pii/016686419400041Z)