On the hull numbers of torus links
Geometric Topology
2007-05-23 v1
Abstract
The n-th hull of a union of curves in R^3 is the set of points with the property: Any plane passing through the point intersects the curves at least 2n times. The hull number u(L) of a link L is defined as the minimum number of non-empty hulls a representative of L can have. We show that the hull numbers of torus links are smaller than expected, but still large. In particular, for a link of type (p,p) hull number equals 3p/5, and in general for the type (p,q) with q>p it is greater than or equal to p/2.
Cite
@article{arxiv.math/0412139,
title = {On the hull numbers of torus links},
author = {Ivan Izmestiev},
journal= {arXiv preprint arXiv:math/0412139},
year = {2007}
}
Comments
14 pages