Original article

Mathematische Annalen

, Volume 323, Issue 1, pp 31-39

First online:

On symplectic cobordisms

  • John B. EtnyreAffiliated withDepartment of Mathematics, University of Pennsylvania, Philadelphia, PA 19104, USA
  • , Ko HondaAffiliated withDepartment of Mathematics, University of Southern California, Los Angeles, CA 90089, USA

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In this note we make several observations concerning symplectic cobordisms. Among other things we show that every contact 3-manifold has infinitely many concave symplectic fillings and that all overtwisted contact 3-manifolds are “symplectic cobordism equivalent”.

Mathematics Subject Classification (2000): 53D35, 57R17