Author: John Baez Format: MarkdownItex"The group of symplectomorphisms" of a symplectic vector space would usually mean all diffeomorphisms preserving the symplectic structure, but in this article we only care about linear transformations, so I've changed it to "The symplectic group".
<a href="https://ncatlab.org/nlab/revision/diff/Lagrangian+Grassmannian/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/Lagrangian+Grassmannian/5">v5</a>, <a href="https://ncatlab.org/nlab/show/Lagrangian+Grassmannian">current</a>
“The group of symplectomorphisms” of a symplectic vector space would usually mean all diffeomorphisms preserving the symplectic structure, but in this article we only care about linear transformations, so I’ve changed it to “The symplectic group”.
Author: John Baez Format: MarkdownItexI described a generator for the first cohomology group of the Lagrangian Grassmannian.
<a href="https://ncatlab.org/nlab/revision/diff/Lagrangian+Grassmannian/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/Lagrangian+Grassmannian/7">v7</a>, <a href="https://ncatlab.org/nlab/show/Lagrangian+Grassmannian">current</a>
I described a generator for the first cohomology group of the Lagrangian Grassmannian.