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TIGHT FIBRED KNOTS WITHOUT L-SPACE SURGERIES

Published online by Cambridge University Press:  24 November 2020

FILIP MISEV  and
GILBERTO SPANO
FILIP MISEV
Affiliation:
Max Planck Institute for Mathematics, Bonn, Germany, e-mail: fmisev@mpim-bonn.mpg.de
GILBERTO SPANO
Affiliation:
LMNO, Université de Caen-Normandie, Caen, France, e-mails: gilbertospano.math@gmail.com, gilberto.spano@unicaen.fr
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Abstract

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We show that there exist infinitely many knots of every fixed genus $g\geq 2$ which do not admit surgery to an L-space, despite resembling algebraic knots and L-space knots in general: they are algebraically concordant to the torus knot T(2, 2g + 1) of the same genus and they are fibred and strongly quasipositive.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 63 , Issue 3 , September 2021 , pp. 732 - 740
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© The Author(s), 2020. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust

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