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Nonstandard Lagrangian Submanifolds in CP^n

River Chiang
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Abstract

We use Hamiltonian actions to construct nonstandard (as opposed to $\RP^n$ and $T^n$) Lagrangian submanifolds of $\CP^n$. First of all, a quotient of $\RP^3$ by the dihedral group $D_3$ is a Lagrangian submanifold of $\CP^3$. Secondly, $\Su(n)/\Z_n$ are Lagrangian submanifolds of $\CP^{n^2-1}$.

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River Chiang. 2003-03-20. Nonstandard Lagrangian Submanifolds in CP^n. https://arxiv.org/abs/math/0303262

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