Link concordance and generalized doubling operators

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.

PDF Access Denied

Warning: We have not been able to recognize your IP address 47.88.87.18 as that of a subscriber to this journal. Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form.

Or, visit our subscription page for instructions on purchasing a subscription. You may also contact us at contact@msp.org or by using our contact form.

Or, you may purchase this single article for USD 29.95:

Keywords

Bing double, signature, links, concordance, (n)-solvable

Mathematical Subject Classification 2000

Primary: 57M10, 57M25

References

Publication

Received: 23 January 2008

Revised: 23 July 2008

Accepted: 22 August 2008

Published: 18 September 2008

Authors

Tim Cochran
Department of Mathematics MS-136 PO Box 1892 Rice University Houston, TX 77251-1892 USA
http://math.rice.edu/~cochran
Shelly Harvey
Department of Mathematics MS-136 PO Box 1892 Rice University Houston, TX 77251-1892 USA
http://math.rice.edu/~shelly
Constance Leidy
Department of Mathematics and Computer Science Wesleyan University Wesleyan Station Middletown, CT 06459 USA
http://cleidy.web.wesleyan.edu

Volume 8, issue 3 (2008)

Tim Cochran, Shelly Harvey and Constance Leidy

Abstract