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Tight fibred knots without L-space surgeries

Abstract : We show 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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Preprints, Working Papers, ...
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Contributor : Gilberto Spano Connect in order to contact the contributor
Submitted on : Monday, October 21, 2019 - 4:53:02 PM
Last modification on : Wednesday, November 3, 2021 - 6:17:48 AM

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  • HAL Id : hal-02323242, version 1
  • ARXIV : 1906.11760



Gilberto Spano, Filip Misev. Tight fibred knots without L-space surgeries. 2019. ⟨hal-02323242⟩



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