Classification of coadjoint orbits for symplectomorphism groups of surfaces

2020/11/23 by I. A. Kirillov, Ilia Kirillov, Kirillov, Ilia
Mathematics · #Advanced Algebra and Geometry #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.SG

paper · pdf · doi:10.48550/arxiv.2011.11845

27 pages, 8 figures

openalex publication_date 2020/11/23 · arxiv created 2021/10/29 · arxiv updated 2021/11/01 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

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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