Geodesic
Symplectic fillability of tight contact structures on torus bundles
Ding, Fan1 ; Geiges, Hansjorg2
1Department of Mathematics, Peking University, Beijing 100871, PR China
2Mathematisch Instituut, Universiteit Leiden, Postbus 9512, 2300 RA Leiden, Netherlands
Algebraic and Geometric Topology, Tome 1 (2001) no. 1, pp. 153-172
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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.

DOI : 10.2140/agt.2001.1.153
Keywords: tight contact structure, weak, strong symplectic filling, contact surgery

Ding, Fan  1   ; Geiges, Hansjorg  2

1 Department of Mathematics, Peking University, Beijing 100871, PR China
2 Mathematisch Instituut, Universiteit Leiden, Postbus 9512, 2300 RA Leiden, Netherlands 
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Ding, Fan; Geiges, Hansjorg. Symplectic fillability of tight contact structures on torus bundles. Algebraic and Geometric Topology, Tome 1 (2001) no. 1, pp. 153-172. doi: 10.2140/agt.2001.1.153

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