منابع مشابه
Virtually 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 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 (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 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 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: Topology and its Applications
سال: 1999
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(97)00272-1