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2020 Asymmetric L–space knots
Kenneth L Baker, John Luecke
Geom. Topol. 24(5): 2287-2359 (2020). DOI: 10.2140/gt.2020.24.2287

Abstract

We construct the first examples of asymmetric L–space knots in S3. More specifically, we exhibit a construction of hyperbolic knots in S3 with both (i) a surgery that may be realized as a surgery on a strongly invertible link such that the result of the surgery is the double branched cover of an alternating link and (ii) trivial isometry group. In particular, this produces L–space knots in S3 which are not strongly invertible. The construction also immediately extends to produce asymmetric L–space knots in any lens space, including S1×S2.

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Kenneth L Baker. John Luecke. "Asymmetric L–space knots." Geom. Topol. 24 (5) 2287 - 2359, 2020. https://doi.org/10.2140/gt.2020.24.2287

Information

Received: 29 November 2017; Revised: 18 April 2019; Accepted: 26 May 2019; Published: 2020
First available in Project Euclid: 5 January 2021

MathSciNet: MR4194294
Digital Object Identifier: 10.2140/gt.2020.24.2287

Subjects:
Primary: 57M25, 57M27
Secondary: 57M12, 57R58

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.24 • No. 5 • 2020
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