, Volume 323, Issue 1, pp 31-39

On symplectic cobordisms

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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”.

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