Tight fibred knots without L-space surgeries

Gilberto Spano (1) , Filip Misev (2)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme
2 MPIM - Max Planck Institute for Mathematics

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.

Domains: Mathematics [math]; Geometric Topology [math.GT]

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