Grassmannians of symplectic subspaces

Jae Hyouk Lee; Naichung Conan Leung

doi:10.1007/s00229-011-0448-7

Grassmannians of symplectic subspaces

Jae Hyouk Lee, Naichung Conan Leung

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	383-410
Number of pages	28
Journal	Manuscripta Mathematica
Volume	136
Issue number	3
DOIs	https://doi.org/10.1007/s00229-011-0448-7
State	Published - Nov 2011

Keywords

14M15
37J05

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title = "Grassmannians of symplectic subspaces",

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.",

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AB - 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.

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KW - 37J05

UR - https://www.scopus.com/pages/publications/80053925813

U2 - 10.1007/s00229-011-0448-7

DO - 10.1007/s00229-011-0448-7

M3 - Article

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VL - 136

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JF - Manuscripta Mathematica

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Grassmannians of symplectic subspaces

Abstract

Keywords

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