Kahler structures on spin 6-manifolds

Schreieder, Stefan und Tasin, Luca (2019): Kahler structures on spin 6-manifolds. In: Mathematische Annalen, Bd. 373, Nr. 1-2: S. 397-419

Abstract

We show that many spin 6-manifolds have the homotopy type but not the homeomorphism type of a Kahler manifold. Moreover, for given Betti numbers, there are only finitely many deformation types and hence topological types of smooth complex projective spin threefolds of general type. Finally, on a fixed spin 6-manifold, the Chern numbers take on only finitely many values on all possible Kahler structures.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0025-5831
• Sprache: Englisch