continious cohomology of groups of volume-preserving and symplectic diffepmorphisms, measurable transfer and higher asymtotic cycles

dc.creatorReznikov, Alexander
dc.date1997-09-06
dc.date.accessioned2026-07-07T09:13:19Z
dc.date.available2026-07-07T09:13:19Z
dc.descriptionI construct the real counterparts (which I call Borel-Bott classes) of the R/Z classes constructed in "Characteristic classes in symplectic topology", to appear, in the cohomology of volume-preserving and symplectomorhisms of a compact (symplectic) manifold.I show that, for the symplectic action of the mapping class group in the moduli space of stable vector bundles over a Riemann surface, the restriction of the first constructed class from the symplectomorphism group gives a generator for the second (bounded) cohomology of the mapping class group.
dc.descriptionamstex
dc.identifierhttps://arxiv.org/abs/dg-ga/9709010
dc.identifierhttp://arxiv.org/abs/dg-ga/9709010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152288
dc.subjectDifferential Geometry
dc.titlecontinious cohomology of groups of volume-preserving and symplectic diffepmorphisms, measurable transfer and higher asymtotic cycles
dc.typetext

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