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Coisotropic Pairs

2014/08/24 by Jonathan Lorand, Alan Weinstein, Lorand, Jonathan +1
Mathematics · #15A21 #53D99 #Analytic and geometric function theory #FOS: Mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1408.5620

openalex publication_date 2014/08/24 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We give two equivalent sets of invariants which classify pairs of coisotropic subspaces of a finite-dimensional symplectic vector space. We identify five elementary types of coisotropic pairs and show that any coisotropic pair decomposes in an appropriate sense as the direct sum of coisotropic pairs of elementary type.

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