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TIGHT FIBRED KNOTS WITHOUT L-SPACE SURGERIES
Published online by Cambridge University Press: 24 November 2020
Abstract
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.
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- 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.
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- © The Author(s), 2020. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust