Boundary slopes (nearly) bound cyclic slopes

Details Boundary slopes (nearly) bound cyclic slopes Boundary slopes (nearly) bound cyclic slopes

2004-07-02

arxiv.org/abs/math/0407025v3

Algebr. Geom. Topol. 5 (2005) 741-750

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-31.abs.html

Scientific paper

Let r_m and r_M be the least and greatest finite boundary slopes of a
hyperbolic knot K in S^3. We show that any cyclic surgery slopes of K must lie
in the interval (r_m - 1/2, r_M + 1/2).

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