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

Jae Choon Cha, Charles Livingston, Daniel Ruberman

math.GTarXiv:math/0612419

Abstract

If the Bing double of a knot K is slice, then K is algebraically slice. In addition, Heegaard--Floer concordance invariants developed by Ozsvath-Szabo and by Manolescu-Owens vanish on K.

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