Formality of Donaldson submanifolds

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We introduce the concept of s-formal minimal model as an extension of formality. We prove that any orientable compact manifold M, of dimension 2n or (2n-1), is formal if and only if M is (n-1)-formal. The formality and the hard Lefschetz property are studied for the symplectic manifolds constructed by Donaldson with asymptotically holomorphic techniques. This study permits us to show an example of a Donaldson symplectic manifold of dimension eight which is formal simply connected and does not satisfy the hard Lefschetz theorem.
24 pages, no figures, Latex2e; v3. statement of Lemma 2.7 corrected

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Symplectic Geometry, Algebraic Topology, 57R17; 57R19

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http://salesiana.dossiersoluciones.com/handle/123456789/129207

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211017
 http://arxiv.org/abs/math/0211017

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arXiv