Kahler structures on spin 6-manifolds

Schreieder, Stefan und Tasin, Luca (2019): Kahler structures on spin 6-manifolds. In: Mathematische Annalen, Vol. 373, No. 1-2: pp. 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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0025-5831
• Language: English