Geography of non-formal symplectic and contact manifolds

Details Geography of non-formal symplectic and contact manifolds Geography of non-formal symplectic and contact manifolds

2008-12-08

arxiv.org/abs/0812.1447v2

Mathematics

Symplectic Geometry

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

Scientific paper

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.

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