Boundary slopes (nearly) bound cyclic slopes

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Boundary slopes (nearly) bound cyclic slopes

Let rm and rM be the least and greatest finite boundary slopes of a hyperbolic knot K in S . We show that any cyclic surgery slopes of K must lie in the interval (rm − 1/2, rM + 1/2). AMS Classification 57M25; 57M27

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Virtually Embedded Boundary Slopes

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Exceptional Surgery and Boundary Slopes

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Immersed , Virtually - Embedded , Boundary Slopes

For the figure eight knot, we show that slopes with even numerator are slopes of immersed surfaces covered by incompressible, boundary-incompressible embeddings in some finite cover.  2000 Elsevier Science B.V. All rights reserved.

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Boundary Slopes for Montesinos Knots

FOR A KNOT K c S3, let S(K) c Q u {CQ} be the set of slopes of boundary curves of incompressible, %incompressible orientable surfaces in the knot exterior, slopes being normalized in the standard way so that a longitude has slope 0, a meridian slope co. These sets S(K) of %slopes are of special interest because of their relation with Dehn surgery and character varieties; see e.g., [2]. The only...

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ژورنال

عنوان ژورنال: Algebraic & Geometric Topology

سال: 2005

ISSN: 1472-2739,1472-2747

DOI: 10.2140/agt.2005.5.741