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About: Signature of a knot     Goto   Sponge   NotDistinct   Permalink

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The signature of a knot is a topological invariant in knot theory. It may be computed from the Seifert surface. Given a knot K in the 3-sphere, it has a Seifert surface S whose boundary is K. The of S is the pairing given by taking the linking number where and indicate the translates of a and b respectively in the positive and negative directions of the normal bundle to S. Slice knots are known to have zero signature.