We review topological properties of Kähler and symplectic manifolds, 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).

Formality and the Lefschetz property in symplectic and cosymplectic geometry

Bazzoni G;
2015-01-01

Abstract

We review topological properties of Kähler and symplectic manifolds, 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).
2015
https://www.degruyter.com/view/j/coma.2015.2.issue-1/coma-2015-0006/coma-2015-0006.xml?format=INT
formalità; proprietà di Lefschetz
Bazzoni, G; Fernández, M; Muñoz, V
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2086813
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