Non-formal co-symplectic manifolds

Details Non-formal co-symplectic manifolds Non-formal co-symplectic manifolds

2012-03-29

arxiv.org/abs/1203.6422v1

Mathematics

Algebraic Topology

21 pages, no figures

Scientific paper

We study the formality of the mapping torus of an orientation-preserving diffeomorphism of a manifold. In particular, we give conditions under which a mapping torus has a non-zero Massey product. As an application we prove that there are non-formal compact co-symplectic manifolds of dimension $m$ and with first Betti number $b$ if and only if $m=3$ and $b \geq 2$, or $m \geq 5$ and $b \geq 1$. Explicit examples for each one of these cases are given.

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