On the topology of the evaluation map and rational curves

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dc.creatorKokarev, Gerasim
dc.date2006-03-10
dc.date2007-03-21
dc.date.accessioned2026-07-07T09:33:51Z
dc.date.available2026-07-07T09:33:51Z
dc.descriptionWe explore a relationship between topological properties of orbits of 2-cycles in the symplectomorphism group Symp(M) and the existence of rational curves in M. Under the absence of rational curves hypothesis, we show that evaluation map vanishies on the second homotopy group and obtain a Gottlieb-type vanishing theorem for toroidal cycles in Symp(M).
dc.descriptionimproved versions of the results; stylistic corrections; 15 pages
dc.identifierhttps://arxiv.org/abs/math/0603255
dc.identifierhttp://arxiv.org/abs/math/0603255
dc.identifierInternat. J. Math. 19 (2008), no. 4, 369-385.
dc.identifierdoi:10.1142/S0129167X0800473X
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159281
dc.subjectSymplectic Geometry
dc.subjectGeometric Topology
dc.titleOn the topology of the evaluation map and rational curves
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