L-spaces, taut foliations, and graph manifolds

Jonathan Hanselman, Jacob Rasmussen, Sarah Dean Rasmussen, Liam Watson

Research output: Contribution to journalArticlepeer-review


If is a closed orientable graph manifold, we show that admits a coorientable taut foliation if and only if is not an L-space. Combined with previous work of Boyer and Clay, this implies that is an L-space if and only if is not left-orderable.

Original languageEnglish (US)
Pages (from-to)604-612
Number of pages9
JournalCompositio Mathematica
StateAccepted/In press - 2020
Externally publishedYes


  • 2010 Mathematics Subject Classification
  • 57M27

ASJC Scopus subject areas

  • Algebra and Number Theory


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