The Lefschetz property, formality and blowing up in symplectic geometry

DOI10.1090/S0002-9947-06-04058-XzbMath1115.53060arXivmath/0403067MaRDI QIDQ3420313

Gil R. Cavalcanti

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403067

zbMATH Keywords

Massey productLefschetz propertysymplectic blow-up

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35) Algebraic topology on manifolds and differential topology (57R19) Massey products (55S30)

Related Items

Manifolds Which Are Complex and Symplectic But Not Kähler, The decomposition of forms and cohomology of generalized complex manifolds, The solution on the geography-problem of non-formal compact (almost) contact manifolds, Formality in generalized Kähler geometry, Essential manifolds with extra structures, On fibrations with formal elliptic fibers, Formality and the Lefschetz property in symplectic and cosymplectic geometry, Simply connected K-contact and Sasakian manifolds of dimension 7, Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics, Hodge structures on cohomology algebras and geometry, Exotic smooth structures and symplectic forms on closed manifolds, Symplectic resolutions, Lefschetz property and formality, Hard Lefschetz property of symplectic structures on compact Kähler manifolds, Weakly Lefschetz symplectic manifolds, On simply connected \(K\)-contact non-Sasakian manifolds

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