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math.SG2026
New constraints on Lagrangian embeddings and the shape invariant
Richard Hind, Ely Kerman
For a large class of toric domains in we determine which product Lagrangian tori can be mapped into the domain by a Hamiltonian diffeomorphism. In other words, we co…
math.SG2026
On the symplectic capacity and mean width of convex bodies
Jonghyeon Ahn, Ely Kerman
In this note we consider two topics involving the relationship between the symplectic capacity and the mean width of convex bodies in . We first describe an altern…
math.SG2026
Symplectic variations of convex bodies and the mean width
Jonghyeon Ahn, Ely Kerman
In this work, we study convex bodies in $\RR^{2n}$ with the property that their mean width cannot be infinitesimally decreased by symplectomorphisms. The common theme of our result…