Algebraic and Heegaard-Floer invariants of knots with slice Bing doubles

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Abstract

If the Bing double of a knot K is slice, then K is algebraically slice. In addition the HeegaardFloer concordance invariants , developed by OzsvthSzab, and , developed by Manolescu and Owens, vanish on K.

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Cha, J. C., Livingston, C., & Ruberman, D. (2008). Algebraic and Heegaard-Floer invariants of knots with slice Bing doubles. Mathematical Proceedings of the Cambridge Philosophical Society, 144(2), 403–410. https://doi.org/10.1017/S0305004107000795

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