Wu, Zhongtao (2011) Cosmetic surgery in L–space homology spheres. Geometry and Topology, 15 (2). pp. 1157-1168. ISSN 1465-3060 http://resolver.caltech.edu/CaltechAUTHORS:20110822-152852180
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Abstract
Let K be a nontrivial knot in S^3, and let r and r′ be two distinct rational numbers of same sign. We prove that there is no orientation-preserving homeomorphism between the manifolds S_r^3(K) and S_r′^3(K). We further generalize this uniqueness result to knots in arbitrary L–space homology spheres.
| Item Type: | Article |
|---|---|
| Additional Information: | © 2011 Geometry & Topology Publications. Received: 4 October 2010; Revised: 11 April 2011; Accepted: 3 May 2011; Published: 22 July 2011. Proposed: Rob Kirby. Seconded: Danny Calegari, Joan Birman. |
| Subject Keywords: | Dehn surgery, cosmetic surgery, Heegaard Floer homology |
| Classification Code: | MSC: Primary: 57M25, 57M27 |
| Record Number: | CaltechAUTHORS:20110822-152852180 |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20110822-152852180 |
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| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 24986 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Tony Diaz |
| Deposited On: | 23 Aug 2011 22:45 |
| Last Modified: | 26 Dec 2012 13:30 |
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