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2008 Link concordance and generalized doubling operators
Tim Cochran, Shelly Harvey, Constance Leidy
Algebr. Geom. Topol. 8(3): 1593-1646 (2008). DOI: 10.2140/agt.2008.8.1593

Abstract

We introduce a technique for showing classical knots and links are not slice. As one application we show that the iterated Bing doubles of many algebraically slice knots are not topologically slice. Some of the proofs do not use the existence of the Cheeger–Gromov bound, a deep analytical tool used by Cochran–Teichner. We define generalized doubling operators, of which Bing doubling is an instance, and prove our nontriviality results in this more general context. Our main examples are boundary links that cannot be detected in the algebraic boundary link concordance group.

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Tim Cochran. Shelly Harvey. Constance Leidy. "Link concordance and generalized doubling operators." Algebr. Geom. Topol. 8 (3) 1593 - 1646, 2008. https://doi.org/10.2140/agt.2008.8.1593

Information

Received: 23 January 2008; Revised: 23 July 2008; Accepted: 22 August 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1190.57010
MathSciNet: MR2443256
Digital Object Identifier: 10.2140/agt.2008.8.1593

Subjects:
Primary: 57M10, 57M25

Rights: Copyright © 2008 Mathematical Sciences Publishers

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Vol.8 • No. 3 • 2008
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