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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
Affiliation:
Department of Mathematics Pohang University of Science and Technology (POSTECH) Pohang, Kyungbok 790-784Republic of Korea. e-mail: jccha@postech.ac.kr
CHARLES LIVINGSTON
Affiliation:
Department of Mathematics, Indiana University, Bloomington, Indiana 47405, U.S.A. e-mail: livingst@indiana.edu
DANIEL RUBERMAN
Affiliation:
Department of Mathematics, MS 050, Brandeis University, Waltham, Massachusetts 02454, U.S.A. e-mail: ruberman@brandeis.edu

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
Copyright
Copyright © Cambridge Philosophical Society 2008

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