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Link concordance and
generalized doubling operators
Tim Cochran, Shelly Harvey and Constance Leidy |
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Algebraic & Geometric Topology 8 (2008) 1593–1646
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Abstract |
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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. |
Keywords
Bing double, signature, links, concordance, (n)-solvable
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Mathematical Subject Classification 2000
Primary: 57M10, 57M25
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References |
Publication
Received: 23 January 2008
Revised: 23 July 2008
Accepted: 22 August 2008
Published: 18 September 2008
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Authors |
| Tim Cochran | |
| Department of Mathematics
MS-136 PO Box 1892 Rice University Houston, TX 77251-1892 USA |
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| http://math.rice.edu/~cochran | |
| Shelly Harvey | |
| Department of Mathematics
MS-136 PO Box 1892 Rice University Houston, TX 77251-1892 USA |
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| http://math.rice.edu/~shelly | |
| Constance Leidy | |
| Department of Mathematics and
Computer Science Wesleyan University Wesleyan Station Middletown, CT 06459 USA |
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| http://cleidy.web.wesleyan.edu | |
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