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Grassmannians of symplectic subspaces
Authors:Jae-Hyouk Lee  Naichung Conan Leung
Institution:1. Korea Institute for Advanced Study, Seoul, Korea
2. Department of Mathematics, Ewha Womans University, 11-1 Daehyun-Dong, Seodaenum-gu, 120-750, Seoul, Korea
3. Department of Mathematics, The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Shatin, NT, Hong Kong
Abstract:We study the geometry of the Grassmannians of symplectic subspaces in a symplectic vector space. We construct symplectic twistor spaces by the symplectic quotient construction and use them to describe the symplectic geometry of the symplectic Grassmannians.
Keywords:
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