Persistently laminar tangles
几何拓扑
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/9807138,
title = {Persistently laminar tangles},
author = {Mark Brittenham},
journal= {arXiv preprint arXiv:math/9807138},
year = {2007}
}
备注
13 pages, with 16 figures