Non-parallel essential surfaces in knot complements
几何拓扑
2007-05-23 v2
摘要
We show that if a knot or link has n thin levels when put in thin position then its exterior contains a collection of n disjoint, non-parallel, planar, meridional, essential surfaces. A corollary is that there are at least n/3 tetrahedra in any triangulation of the complement of such a knot.
引用
@article{arxiv.math/0302272,
title = {Non-parallel essential surfaces in knot complements},
author = {David Bachman},
journal= {arXiv preprint arXiv:math/0302272},
year = {2007}
}
备注
10 pages, 4 figures. Revised version