Mathematics – Differential Geometry
Scientific paper
2009-06-16
SIGMA 5 (2009), 063, 7 pages
Mathematics
Differential Geometry
Scientific paper
10.3842/SIGMA.2009.063
Two examples of $\mathrm{Diff}^+S^1$-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
$H^2(\mathfrak{X}(S^1))$.
Masque Jaime Munoz
Pérez Roberto Ferreiro
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