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Classification of coadjoint orbits for symplectomorphism groups of surfaces

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arxiv 2011.11845 v2 pith:VYOT6ZKC submitted 2020-11-23 math.SG

classification math.SG
keywords surfacessymplectomorphismclassifycoadjointgroupsorbitsboundaryclassification
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We classify generic coadjoint orbits for symplectomorphism groups of compact symplectic surfaces with or without boundary. We also classify simple Morse functions on such surfaces up to a symplectomorphism.

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