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

Published online by Cambridge University Press:  01 March 2008

JAE CHOON CHA ,
CHARLES LIVINGSTON  and
DANIEL RUBERMAN
JAE CHOON CHA
Affiliation:
Department of Mathematics Pohang University of Science and Technology (POSTECH) Pohang, Kyungbok 790-784Republic of Korea. e-mail: [email protected]
CHARLES LIVINGSTON
Affiliation:
Department of Mathematics, Indiana University, Bloomington, Indiana 47405, U.S.A. e-mail: [email protected]
DANIEL RUBERMAN
Affiliation:
Department of Mathematics, MS 050, Brandeis University, Waltham, Massachusetts 02454, U.S.A. e-mail: [email protected]
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Abstract

If the Bing double of a knot K is slice, then K is algebraically slice. In addition the Heegaard–Floer concordance invariants τ, developed by Ozsváth–Szabó, and δ, developed by Manolescu and Owens, vanish on K.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 144 , Issue 2 , March 2008 , pp. 403 - 410
Copyright
Copyright © Cambridge Philosophical Society 2008

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