Symplectic fillability of tight contact structures on torus bundles

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 2000

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

Fan Ding
Department of Mathematics Peking University Beijing 100871 PR China

Hansjorg Geiges
Mathematisch Instituut Universiteit Leiden Postbus 9512 2300 RA Leiden Netherlands

Volume 1, issue 1 (2001)

Fan Ding and Hansjorg Geiges