Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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First Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI

Cohomological properties of symplectic manifolds

Daniele Angella (Dipartimento di Matematica e Informatica "Ulisse Dini", Università di Firenze)

created by daniele on 28 Jun 2014

30 jun 2014 -- 17:00

room 0.21, Bilbao

Special session "Symplectic Geometry and Special Metrics".


Both in complex and in symplectic geometry, Bott-Chern and Aeppli cohomologies provide further tools for the study of non-Kahler manifolds. We provide an inequality à a la Frolicher that relates the Betti numbers and the dimensions of the complex, respectively symplectic Bott-Chern cohomology. Such an inequality provides also a characterization of cohomological decomposition properties. We present results obtained in joint works with: A. Tomassini, H. Kasuya, F. A. Rossi, M. G. Franzini, S. Calamai, G. Dloussky.


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