Abstract
If Y is a closed orientable graph manifold, we show that Y admits a coorientable taut foliation if and only if Y is not an L-space. Combined with previous work of Boyer and Clay, this implies that Y is an L-space if and only if π 1(Y) is not left-orderable.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 604-612 |
| Number of pages | 9 |
| Journal | Compositio Mathematica |
| Volume | 156 |
| Issue number | 3 |
| Early online date | Jan 23 2020 |
| DOIs | |
| State | Published - Mar 2020 |
| Externally published | Yes |
Keywords
- 2010 Mathematics Subject Classification
- 57M27
- graph manifold
- L-space
- Heegaard Floer
- taut foliation
ASJC Scopus subject areas
- Algebra and Number Theory
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