%0 Journal Article %T Strong L-spaces and left orderability %A Adam Simon Levine %A Sam Lewallen %J Mathematics %D 2011 %I arXiv %X 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. %U http://arxiv.org/abs/1110.0563v1