Geography of non-formal symplectic and contact manifolds

Abstract

Let (m,b) a pair of natural numbers. For m even (resp. m odd and b greater than or equal to 2) we show that if there is an m-dimensional non-formal compact oriented manifold whose first Betti number equals b, there is also a symplectic (resp. contact) manifold with these properties.

11 pages; ad v2: revised version, accepted for publication in Forum Mathematicum