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Symplectic non-Kähler manifolds with and without the Hard Lefschetz Condition
Richard Hind, Adriano Tomassini
In this paper we construct compact manifolds without Kähler structures that admit both a symplectic form satisfying the Hard Lefschetz Condition (HLC) and another symplectic form t…
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…
Symplectic field theory: an overview
Richard Hind, Kyler Siegel
We summarize some of the main ideas and results around symplectic field theory, from its early inception up to recent and ongoing developments.
On the Gromov width of complements of Lagrangian tori
Richard Hind
An integral product Lagrangian torus in the standard symplectic is defined to be a subset with . Let $\mathc…
On the large-scale geometry of domains in an exact symplectic 4-manifold
Dan Cristofaro-Gardiner, Richard Hind
We show that the space of open subsets of any complete and exact symplectic -manifold has infinite dimension with respect to the symplectic Banach-Mazur distance; the quasi-flat…