Formality and the Lefschetz property in symplectic and cosymplectic geometry

• Autorzy: Giovanni Bazzoni , Marisa Fernández , Vicente Muñoz
• Języki publikacji: EN

Abstrakty

EN

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).

Kategorie tematyczne

• 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)
• 55S30: Massey products
• 57R17: Symplectic and contact topology
• 53D35: Global theory of symplectic and contact manifolds
• 55P62: Rational homotopy theory

• Wydawca: De Gruyter Open
• Czasopismo: Complex Manifolds
• Rocznik: 2015
• Tom: 2
• Numer: 1

Daty

otrzymano

2015-04-14

zaakceptowano

2015-07-11

online

2015-07-29

Twórcy

autor

Giovanni Bazzoni

• Fakultät für Mathematik, Universität Bielefeld, Postfach 100301, D-33501 Bielefeld

autor

Marisa Fernández

• Universidad del País Vasco, Facultad de Ciencia y Tecnología, Departamento de Matemáticas, Apartado
  644, 48080 Bilbao, Spain

autor

Vicente Muñoz

• Facultad de Matemáticas, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040 Madrid, Spain
• Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM), C/ Nicolás Cabrera 15, 28049 Madrid, Spain

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Identyfikatory

DOI

10.1515/coma-2015-0006