Hyperbolic Twisted Torus Links

Abstract

The twisted torus link $T(p,q;r,s)$ is obtained by twisting $r$ parallel strands of the $(p,q)$-torus link a total of $s$ full times. In this paper we find all twisted torus links which are hyperbolic for $|s|>3$.

arXiv comment19 pages, 3 figures. Revised version: minor corrections. Lemma 3.1 has been corrected; the main results are unchanged. Published in Geometriae Dedicata