# 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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https://hal-normandie-univ.archives-ouvertes.fr/hal-02323242
Contributor : Gilberto Spano <>
Submitted on : Monday, October 21, 2019 - 4:53:02 PM
Last modification on : Monday, April 27, 2020 - 4:14:03 PM

### Identifiers

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

### Citation

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

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