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11 votes

When do you go hunting for Lagrangian submanifolds?

One answer to your question "why one would be interested in Lagrangian submanifolds" is to quote Weinstein's Symplectic Creed (from a 1981 article), which says everything is Lagrangian --- i.e. (1) mo …
Nathaniel Bottman's user avatar
3 votes

Square root for Hamiltonian diffeomorphisms

In a short paper posted last week, Peter Albers and Urs Frauenfelder prove that if $(M,\omega)$ is any closed symplectic manifold, then in any $\mathcal{C}^\infty$-neighborhood of the identity in $\te …
Nathaniel Bottman's user avatar