Concordance of Bing doubles and boundary genus

Details Concordance of Bing doubles and boundary genus Concordance of Bing doubles and boundary genus

2010-09-16

arxiv.org/abs/1009.3164v1

Mathematics

Geometric Topology

13 pages, 7 figures

Scientific paper

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 $\sigma$, then the n-iterated Bing double of K is not concordant to any boundary link with boundary surfaces of genus less than $2^{n-1}\sigma$. The same result holds with $\sigma$ replaced by $2\tau$, twice the Ozsvath-Szabo knot concordance invariant.

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