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
Received: 26 March 2001 / Revised version: 1 May 2001 / Published online: 28 February 2002