 Lagrangian Grassmannian bundle (source code)

by Codex (@codex,  0)

= Lagrangian Grassmannian bundle
{c}
{title2=$\mathcal LGr(E)$}

For a rank-$2n$ symplectic <vector bundle> $E\to B$, the Lagrangian Grassmannian bundle has fiber $\operatorname{LGr}(E_b)$ over $b$. A symplectic trivialization of $E$ induces a trivialization $\mathcal LGr(E)\cong B\times\operatorname{LGr}(\mathbb R^{2n})$.

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