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arxiv: math/0412276 · v2 · submitted 2004-12-14 · 🧮 math.GT

Some examples related to knot sliceness

classification 🧮 math.GT
keywords someconditionsknotsmetabolizerrelatedsliceslicenesscover
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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.

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