Non-formal co-symplectic manifolds

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 $b\ge 2$, or $m\ge 5$ and $b\ge 1$. Explicit examples for each one of these cases are given.

Only minor changes with respect to version 1 (some terminology clarified). 21 pages, no figures. To appear in Trans. Am. Math. Soc

References in corpus (1)

• Non-formal compact manifolds with small Betti numbers

Cited by in corpus (4)

• A survey on cosymplectic geometry
• Lattices, cohomology and models of six dimensional almost abelian solvmanifolds
• Cosymplectic p-spheres
• Pre-c-symplectic condition for the product of odd-spheres