L-spaces, taut foliations, and graph manifolds
Author(s): Hanselman, Jonathan; Rasmussen, Jacob; Rasmussen, Sarah Dean; Watson, Liam
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http://arks.princeton.edu/ark:/88435/pr1sq8qh76| 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 pi(1)(Y) is not left-orderable. |
| Publication Date: | Mar-2020 |
| Electronic Publication Date: | 23-Jan-2020 |
| Citation: | Hanselman, Jonathan, Rasmussen, Jacob, Rasmussen, Sarah Dean, Watson, Liam. (2020). L-spaces, taut foliations, and graph manifolds. COMPOSITIO MATHEMATICA, 156 (604 - 612. doi:10.1112/S0010437X19007814 |
| DOI: | doi:10.1112/S0010437X19007814 |
| ISSN: | 0010-437X |
| EISSN: | 1570-5846 |
| Pages: | 604 - 612 |
| Type of Material: | Journal Article |
| Journal/Proceeding Title: | COMPOSITIO MATHEMATICA |
| Version: | Author's manuscript |
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