Nonstandard Lagrangian Submanifolds in CPⁿ

2003/03/20 by River Chiang, Chiang, River
Computer Science · Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.DG #math.SG #msc:53D12

paper · pdf · doi:10.48550/arxiv.math/0303262

4 pages

arxiv created 2003/03/20 · arxiv updated 2009/11/30

Abstract

We use Hamiltonian actions to construct nonstandard (as opposed to \RPⁿ and Tⁿ) Lagrangian submanifolds of \CPⁿ. First of all, a quotient of \RP³ by the dihedral group D₃ is a Lagrangian submanifold of \CP³. Secondly, \Su(n)/\Z_n are Lagrangian submanifolds of \CP^n2-1.

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