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

Abstract

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

17 pages, 20 figures

References in corpus (3)

• Transverse contact structures on Seifert 3-manifolds
• On the existence of tight contact structures on Seifert fibered 3-manifolds
• Tight contact structures and genus one fibered knots

Cited by in corpus (9)

• Branched covers of quasipositive links and L-spaces
• Non-left-orderable double branched coverings
• On L-spaces and left-orderable fundamental groups
• Links all of whose cyclic branched covers are L-spaces
• Taut foliations in branched cyclic covers and left-orderable groups
• Strong L-spaces and left orderability
• Taut foliations, left-orderability, and cyclic branched covers
• Left-orderable, non-L-space surgeries on knots
• Genus one open books with non-left-orderable fundamental group