Persistently laminar tangles

Details Persistently laminar tangles Persistently laminar tangles

1998-07-24

arxiv.org/abs/math/9807138v1

Mathematics

Geometric Topology

13 pages, with 16 figures

Scientific paper

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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