Owens, B. and Strle, S. (2012) Dehn surgeries and negative-definite four-manifolds. Selecta Mathematica - New Series, 18(4), pp. 839-854. (doi: 10.1007/s00029-012-0086-2)
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Publisher's URL: http://dx.doi.org/10.1007/s00029-012-0086-2
Abstract
Given a knot <i>K</i> in the three-sphere, we address the question: Which Dehn surgeries on <i>K</i> bound negative-definite four-manifolds? We show that the answer depends on a number <i>m(K)</i>, which is a smooth concordance invariant. We study the properties of this invariant and compute it for torus knots.
Item Type: | Articles |
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Additional Information: | The original publication is available at www.springerlink.com |
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Owens, Professor 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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