Persistently laminar tangles

Mark Brittenham

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arXiv · math/9807138

Persistently laminar tangles

Mark Brittenham

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Abstract

A persistent lamination for a knot K is an essential lamination in the complement of the K, which remains essential after every non-trivial Dehn surgery along K. In particular, this implies that all of the Dehn surgery manifolds have universal cover R^3. This paper presents a method for building tangles T with the property that every knot K obtained by tangle sum with T has a persistent lamination. A natural generalization to 2n-string tangles is also given.

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Mark Brittenham. 1998-07-24. Persistently laminar tangles. https://arxiv.org/abs/math/9807138

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