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 language||English (US)|
|Number of pages||9|
|State||Accepted/In press - 2020|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- 2010 Mathematics Subject Classification