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Concordance of Bing Doubles and Boundary Genus†
Published online by Cambridge University Press: 18 July 2011
Abstract
Cha and Kim proved that if a knot K is not algebraically slice, then no iterated Bing double of K is concordant to the unlink. We prove that if K has nontrivial signature σ, then the n–iterated Bing double of K is not concordant to any boundary link with boundary surfaces of genus less than 2n−1σ. The same result holds with σ replaced by 2τ, twice the Ozsváth–Szabó knot concordance invariant.
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- Research Article
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- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 151 , Issue 3 , November 2011 , pp. 459 - 470
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- Copyright © Cambridge Philosophical Society 2011
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