3 papers
math.SG2026
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…
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.SG2024
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.