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arxiv: math/9901041 · v1 · submitted 1999-01-09 · 🧮 math.GT

Virtually embedded boundary slopes

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keywords hyperbolicslopesboundaryincompressiblemanifoldsbundlescertaincover
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We show that for certain hyperbolic 3-manifolds, all boundary slopes are slopes of immersed incompressible surfaces, covered by incompressible embeddings in some finite cover. The manifolds include hyperbolic punctured torus bundles and hyperbolic two-bridge knots.

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