Formality of Donaldson submanifolds
نویسنده
چکیده
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 Donaldson submanifolds of symplectic manifolds constructed in [13]. This study permits us to show an example of a Donaldson symplectic submanifold of dimension eight which is formal simply connected and does not satisfy the hard Lefschetz theorem.
منابع مشابه
On the formality and the hard Lefschetz property for Donaldson symplectic manifolds
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 Donaldson symplectic manifolds constructed in [13]. This study permits us to show an example of a Donaldson symplectic manifol...
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