منابع مشابه
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
متن کاملVirtually Embedded Boundary Slopes
We show that for certain hyperbolic manifolds all boundary slopes are slopes of π1-injective immersed surfaces, covered by incompressible embeddings in some finite cover. The manifolds include hyperbolic punctured torus bundles and hyperbolic two-bridge knots.
متن کاملExceptional Surgery and Boundary Slopes
Let X be a norm curve in the SL(2,C)-character variety of a knot exterior M . Let t = ‖β‖/‖α‖ be the ratio of the Culler-Shalen norms of two distinct non-zero classes α, β ∈ H1(∂M,Z). We demonstrate that either X has exactly two associated strict boundary slopes ±t, or else there are strict boundary slopes r1 and r2 with |r1| > t and |r2| < t. As a consequence, we show that there are strict bou...
متن کاملImmersed , 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.
متن کاملBoundary 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