Publications at the Riemann Center
Approximating C 0-foliations by contact structures
Abstract
We show that any co-orientable foliation of dimension two on a closed orientable 3-manifold with continuous tangent plane field can be C
0-approximated by both positive and negative contact structures unless all leaves of the foliation are simply connected. As applications we deduce that the existence of a taut C
0-foliation implies the existence of universally tight contact structures in the same homotopy class of plane fields and that a closed 3-manifold that admits a taut C
0-foliation of codimension-1 is not an L-space in the sense of Heegaard-Floer homology.
Details
- Organisation(s)
-
Institute of Differential Geometry
Riemann Center for Geometry and Physics
- Type
- Article
- Journal
- Geometric and Functional Analysis
- Volume
- 26
- Pages
- 1255-1296
- No. of pages
- 42
- ISSN
- 1016-443X
- Publication date
- 2016
- Publication status
- Published
- Peer reviewed
- Yes
- Electronic version(s)
-
https://doi.org/10.1007/s00039-016-0387-2 (Access:
Unknown
)
