منابع مشابه
Formality of canonical symplectic complexes and Frobenius manifolds
It is shown that the de Rham complex of a symplectic manifold M satisfying the hard Lefshetz condition is formal. Moreover, it is shown that the differential Gerstenhaber-Batalin-Vilkoviski algebra associated to such a symplectic structure gives rise, along the lines explained in the papers of Barannikov and Kontsevich [alg-geom/9710032] and Manin [math/9801006], to the structure of a Frobenius...
متن کاملOn 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...
متن کاملOn Formality of Sasakian Manifolds
We investigate some topological properties, in particular formality, of compact Sasakian manifolds. Answering some questions raised by Boyer and Galicki, we prove that all higher (than three) Massey products on any compact Sasakian manifold vanish. Hence, higher Massey products do obstruct Sasakian structures. Using this we produce a method of constructing simply connected K-contact non-Sasakia...
متن کاملFormality and the Lefschetz property in symplectic and cosymplectic geometry
We review topological properties of Kähler and symplecticmanifolds, and of their odd-dimensional counterparts, coKähler and cosymplectic manifolds. We focus on formality, Lefschetz property and parity of Betti numbers, also distinguishing the simply-connected case (in the Kähler/symplectic situation) and the b1 = 1 case (in the coKähler/cosymplectic situation). MSC: 53C15, 55S30, 53D35, 55P62, ...
متن کاملSymplectic Groupoids and Poisson Manifolds
0. Introduction. A symplectic groupoid is a manifold T with a partially defined multiplication (satisfying certain axioms) and a compatible symplectic structure. The identity elements in T turn out to form a Poisson manifold To? and the correspondence between symplectic groupoids and Poisson manifolds is a natural extension of the one between Lie groups and Lie algebras. As with Lie groups, und...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1994
ISSN: 0022-4049
DOI: 10.1016/0022-4049(94)90142-2