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THE UNKNOTTING NUMBER AND CLASSICAL INVARIANTS II
Published online by Cambridge University Press: 22 August 2014
Abstract
In [3] the authors (M. Borodzik and S. Friedl, Unknotting number and classical invariants (preprint 2012)) associated to a knot K ⊂ S3 an invariant nℝ(K), which is defined using the Blanchfield form and which gives a lower bound on the unknotting number. In this paper, we express nℝ(K) in terms of the Levine-Tristram signatures and nullities of K. We also show in the proof that the Blanchfield form for any knot K is diagonalisable over ℝ[t±1].
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 2014
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