Tight fibred knots without L-space surgeries

Abstract

We show there exist infinitely many knots of every fixed genus g≥ 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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