Central extensions of groups of symplectomorphisms

Details Central extensions of groups of symplectomorphisms Central extensions of groups of symplectomorphisms

2004-06-10

arxiv.org/abs/math/0406213v2

Mathematics

Differential Geometry

30 pp, 4 fig

Scientific paper

We construct some canonically defined central extensions of groups of
symplectomorphisms. We show that this central extension is nontrivial in the
case of a torus of dimension $\ge 6$ and in the case of a two-dimensional
surface of genus $\ge 3$.

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