Strong L-spaces and left-orderability

Adam Simon Levine, Sam Lewallen

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We introduce the notion of a strong L-space, a closed, oriented threemanifold admitting a Heegaard diagram whose associated Heegaard Floer complex has rank equal to the order of the first homology of the manifold. Examples of strong Lspaces include the branched double covers of alternating links in the three-sphere. We prove that the fundamental group of a strong L-space is not left-orderable.

Original languageEnglish (US)
Pages (from-to)1237-1244
Number of pages8
JournalMathematical Research Letters
Issue number6
StatePublished - 2012

All Science Journal Classification (ASJC) codes

  • General Mathematics


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