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.
Item Type: | Journal article |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics |
Subjects: | 500 Science > 510 Mathematics |
ISSN: | 1016-443X |
Language: | English |
Item ID: | 47410 |
Date Deposited: | 27. Apr 2018, 08:12 |
Last Modified: | 04. Nov 2020, 13:24 |