Some examples related to knot sliceness
arXiv:math/0412276
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.
16 pages, 4 figures; Rev 12 Aug 06: minor corrections (Fig 1,3 and Example 3.7) and expanded introduction