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Owens, B., and Strle, S. (2012) Dehn surgeries and negative-definite four-manifolds. Selecta Mathematica - New Series, 18 (4). pp. 839-854. ISSN 1022-1824 (doi:10.1007/s00029-012-0086-2)
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Abstract
Given a knot K in the three-sphere, we address the question: Which Dehn surgeries on K bound negative-definite four-manifolds? We show that the answer depends on a number m(K), which is a smooth concordance invariant. We study the properties of this invariant and compute it for torus knots.
| Item Type: | Article |
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| Additional Information: | The original publication is available at www.springerlink.com |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s): | Owens, Dr Brendan |
| Authors: | Owens, B., and Strle, S. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Research Group: | Geometry and Topology |
| Journal Name: | Selecta Mathematica - New Series |
| Publisher: | Springer Verlag |
| ISSN: | 1022-1824 |
| ISSN (Online): | 1420-9020 |
| Published Online: | 28 January 2012 |
| Copyright Holders: | Copyright © 2012 Springer |
| First Published: | First published in Selecta Mathematica - New Series 18(4):839-854 |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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