Central extensions of groups of symplectomorphisms
classification
🧮 math.DG
math.SG
keywords
centralcaseextensionsgroupssymplectomorphismscanonicallyconstructdefined
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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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