Journal article
Every knot has characterising slopes
- Abstract:
-
Let K be a knot in the 3-sphere. A slope p/q is said to be characterising for K if whenever p/q surgery on K is homeomorphic, via an orientation-preserving homeomorphism, to p/q surgery on another knot K in the 3-sphere, then K and K are isotopic. It was an old conjecture of Gordon, proved by Kronheimer, Mrowka, Ozsváth and Szabó, that every slope is characterising for the unknot. In this paper, we show that every knot K has infinitely many characterising slopes, confirming a conjecture of Ba...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Funding
+ Engineering and Physical Sciences Research Council
More from this funder
Funding agency for:
Lackenby, M
Grant:
EP/R005125/1
Bibliographic Details
- Publisher:
- Springer Berlin Heidelberg Publisher's website
- Journal:
- Mathematische Annalen Journal website
- Volume:
- 374
- Issue:
- 1-2
- Pages:
- 429–446
- Publication date:
- 2018-10-06
- Acceptance date:
- 2018-07-30
- DOI:
- EISSN:
-
1432-1807
- ISSN:
-
0025-5831
Item Description
- Keywords:
- Pubs id:
-
pubs:708228
- UUID:
-
uuid:14712bef-c0b9-4c33-b46a-871ec9c466a0
- Local pid:
- pubs:708228
- Source identifiers:
-
708228
- Deposit date:
- 2018-08-08
Terms of use
- Copyright holder:
- Lackenby, M
- Copyright date:
- 2018
- Notes:
- Copyright © 2018 The Author. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
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