Symplectic fillability of tight contact structures on torus bundles

Details Symplectic fillability of tight contact structures on torus bundles Symplectic fillability of tight contact structures on torus bundles

2001-04-10

arxiv.org/abs/math/0104109v1

Algebr. Geom. Topol. 1 (2001) 153-172

Mathematics

Symplectic Geometry

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-8.abs.html

Scientific paper

We study weak versus strong symplectic fillability of some tight contact
structures on torus bundles over the circle. In particular, we prove that
almost all of these tight contact structures are weakly, but not strongly
symplectically fillable. For the 3-torus this theorem was established by
Eliashberg.

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