Sasaki structures distinguished by their basic Hodge numbers

Kotschick, D. and Placini, G. (2022): Sasaki structures distinguished by their basic Hodge numbers. In: Bulletin of the London Mathematical Society, Vol. 54, No. 5: pp. 1962-1977

Abstract

In all odd dimensions at least 5 we produce examples of manifolds admitting pairs of Sasaki structures with different basic Hodge numbers. In dimension 5 we prove more precise results, for example, we show that on connected sums of copies of S(2)xS(3) the number of Sasaki structures with different basic Hodge numbers within a fixed homotopy class of almost contact structures is unbounded. All the Sasaki structures we consider are negative in the sense that the basic first Chern class is represented by a negative definite form of type (1,1). We also discuss the relation of these results to contact topology.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0024-6093
• Language: English
• DFG: Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - 491502892