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arxiv: 1207.2413 · v2 · pith:5IIYXTAKnew · submitted 2012-07-10 · 🧮 math.GT

The unknotting number and classical invariants II

classification 🧮 math.GT
keywords blanchfieldformnumberunknottingassociatedauthorsbf12bound
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In [BF12] the authors associated to a knot K an invariant n_R(K) which is defined using the Blanchfield form and which gives a lower bound on the unknotting number. In this paper we express n_R(K) in terms of Levine-Tristram signatures and nullities of K. In the proof we also show that the Blanchfield form with real coefficients is diagonalizable.

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