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- Title
Concordance of Bing Doubles and Boundary Genus.
- Authors
LIVINGSTON, CHARLES; VAN COTT, CORNELIA A.
- 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.
- Subjects
CONCORDANCES (Topology); MATHEMATICAL proofs; ITERATIVE methods (Mathematics); GEOMETRIC surfaces; MATHEMATICAL symmetry; MATHEMATICAL analysis
- Publication
Mathematical Proceedings of the Cambridge Philosophical Society, 2011, Vol 151, Issue 3, p459
- ISSN
0305-0041
- Publication type
Article
- DOI
10.1017/S0305004111000442