On L-spaces and non left-orderable 3-manifold groups

TL;DR

This paper demonstrates that certain 3-manifolds with non left-orderable fundamental groups are characterized as Heegaard Floer homology L-spaces, linking algebraic properties to topological invariants.

Contribution

It establishes a new connection between non left-orderability of fundamental groups and L-space properties in 3-manifolds.

Findings

Identifies a class of 3-manifolds with non left-orderable groups as L-spaces

Provides evidence linking algebraic group properties to Floer homology invariants

Enhances understanding of the relationship between group orderability and 3-manifold topology

Abstract

We show that a class of 3-manifolds with non left-orderable fundamental group are Heegaard Floer homology L-spaces