Details

Autor(en) / Beteiligte

• Chiossi, Simon G
• Fino, Anna
• Musso, Emilio
• Podestà, Fabio
• Vezzoni, Luigi

Titel

Homotopic Properties of Kähler Orbifolds

Ist Teil von

• Special Metrics and Group Actions in Geometry, 2017, Vol.23, p.23-57

Ort / Verlag

Switzerland: Springer International Publishing AG

Erscheinungsjahr

2017

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We prove the formality and the evenness of odd-degree Betti numbers for compact Kähler orbifolds, by adapting the classical proofs for Kähler manifolds. As a consequence, we obtain examples of symplectic orbifolds not admitting any Kähler orbifold structure. We also review the known examples of non-formal simply connected Sasakian manifolds, and produce an example of a non-formal quasi-regular Sasakian manifold with Betti numbers b1 = 0 and b2 > 1.