Non-fibered L-space knots

TL;DR

This paper constructs an infinite family of knots in rational homology spheres with non-fibered complements, where all non-longitudinal fillings result in L-spaces, expanding understanding of L-space knot properties.

Contribution

It introduces a new class of knots with non-fibered complements that still produce L-spaces upon certain fillings, challenging previous assumptions.

Findings

Infinite family of such knots constructed

All non-longitudinal fillings yield L-spaces

Complement remains non-fibered despite L-space property

Abstract

We construct an infinite family of knots in rational homology spheres with irreducible, non-fibered complements, for which every non-longitudinal filling is an L-space.