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Characteristic classes of foliated surface bundles with area-preserving holonomy

D. Kotschick·S. Morita
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Abstract

Making use of the extended flux homomorphism on the group of symplectomorphisms of a closed oriented surface of genus at least 2, we introduce new characteristic classes of foliated surface bundles with symplectic, equivalently area-preserving, total holonomy. These characteristic classes are stable with respect to the genus and we show that they are highly non-trivial. We also prove that the second homology of the group of Hamiltonian symplectomorphisms equipped with the discrete topology is very large.

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BibTeXRIS

D. Kotschick, S. Morita. 2006-01-26. Characteristic classes of foliated surface bundles with area-preserving holonomy. https://arxiv.org/abs/math/0409214

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