Some examples related to knot sliceness
Geometric Topology
2009-09-29 v2
Abstract
It is known that the linking form on the 2-cover of slice knots has a metabolizer. We show that several weaker conditions, or some other conditions related to sliceness, do not imply the existence of a metabolizer. We then show how the Rudolph-Bennequin inequality can be used indirectly to prove that some knots are not slice.
Keywords
Cite
@article{arxiv.math/0412276,
title = {Some examples related to knot sliceness},
author = {A. Stoimenow},
journal= {arXiv preprint arXiv:math/0412276},
year = {2009}
}
Comments
16 pages, 4 figures; Rev 12 Aug 06: minor corrections (Fig 1,3 and Example 3.7) and expanded introduction