Characteristic classes of foliated surface bundles with area-preserving holonomy

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dc.creatorKotschick, D.
dc.creatorMorita, S.
dc.date2004-09-13
dc.date2006-01-26
dc.date.accessioned2026-07-07T06:38:47Z
dc.date.available2026-07-07T06:38:47Z
dc.descriptionMaking 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.
dc.descriptionminor improvements to the exposition; to appear in Journal of Differential Geometry
dc.identifierhttps://arxiv.org/abs/math/0409214
dc.identifierhttp://arxiv.org/abs/math/0409214
dc.identifierJournal of Differential Geometry 75 (2007), 273--302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100862
dc.subjectSymplectic Geometry
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.subject57R17; 57R50; 57M99
dc.titleCharacteristic classes of foliated surface bundles with area-preserving holonomy
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