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 |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics |
Subjects: | 500 Science > 510 Mathematics |
ISSN: | 0025-5831 |
Language: | English |
Item ID: | 82389 |
Date Deposited: | 15. Dec 2021 15:01 |
Last Modified: | 13. Aug 2024 12:43 |