On foliated characteristic classes of transversally symplectic foliations

Details On foliated characteristic classes of transversally symplectic foliations On foliated characteristic classes of transversally symplectic foliations

2011-08-09

arxiv.org/abs/1108.1919v2

Mathematics

Symplectic Geometry

12 Pages; Improved exposition incorporating referees suggestions; Section 4 added; Statement of Corollary 5.10 corrected

Scientific paper

Kotschick and Morita recently discovered factorisations of characteristic classes of transversally symplectic foliations that yield new characteristic classes in foliated cohomology. We describe an alternative construction of such factorisations and construct examples of topologically trivial foliated vector bundles for which these characteristic classes are non-trivial. This shows that the foliated cohomology classes of Kotschick and Morita carry information that is not merely topological.

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