Algebraic & Geometric Topology 1 (2001) 153–172

DOI: 10.2140/agt.2001.1.153

arXiv: math.SG/0104109

Abstract

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.

Keywords

tight contact structure, weak, strong symplectic filling, contact surgery

Mathematical Subject Classification

Primary: 53D35

Secondary: 57M50, 57R65

References

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Publication

Received: 15 December 2000
Revised: 13 February 2001
Accepted: 13 February 2001
Published: 21 March 2001

Authors