Tight fibred knots without L-space surgeries

Abstract

We show there exist infinitely many knots of every fixed genus $g\ge 2$ 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.

11 pages, 2 figures