Non-formal co-symplectic manifolds

Bazzoni, Giovanni; Fernández, Marisa; Muñoz, Vicente

doi:10.1090/S0002-9947-2014-06361-7

Non-formal co-symplectic manifolds
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by Giovanni Bazzoni, Marisa Fernández and Vicente Muñoz PDF

Trans. Amer. Math. Soc. 367 (2015), 4459-4481 Request permission

Abstract:

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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