101 research outputs found
Some examples related to knot sliceness
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.Comment: 16 pages, 4 figures; Rev 12 Aug 06: minor corrections (Fig 1,3 and
Example 3.7) and expanded introductio
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