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Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields

AuthorsFerreiro Pérez, Roberto; Muñoz Masqué, Jaime
KeywordsGel’fand–Fuks cohomology
moment mapping
jet bundle
Issue Date16-Jun-2009
PublisherNational Academy of Sciences of Ukraine
CitationSymmetry, Integrability and Geometry: Methods and Applications
SeriesSIGMA 5 (2009)
AbstractTwo examples of Diff+S1-invariant closed two-forms obtained from forms on jet bundles, which does not admit equivariant moment maps are presented. The corresponding cohomological obstruction is computed and shown to coincide with a nontrivial Lie algebra cohomology class on H2(X(S1)).
Description2000 Mathematics Subject Classification: 58D15; 17B56; 22E65; 53D20; 53D30; 58A20. This paper is a contribution to the Special Issue “´Elie Cartan and Differential Geometry”. The full collection is available at http://www.emis.de/journals/SIGMA/Cartan.html
Publisher version (URL)http://dx.doi.org/10.3842/SIGMA.2009.063
Appears in Collections:(IFA) Artículos
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