Strong L-spaces and left orderability

Abstract

We introduce the notion of a strong L-space, a closed, oriented rational homology 3-sphere whose Heegaard Floer homology can be determined at the chain level. We prove that the fundamental group of a strong L-space is not left-orderable. Examples of strong L-spaces include the double branched covers of alternating links in S^3.

9 pages

References in corpus (3)

• A spanning tree model for the Heegaard Floer homology of a branched double-cover
• On L-spaces and non left-orderable 3-manifold groups
• On L-spaces and left-orderable fundamental groups

Cited by in corpus (1)

• Heegaard Floer homology, L-spaces and smoothing order on links II