3 papers
math.SG2025
A note on the wild symplectic ellipsoids
Filip Broćić, Stefan Matijević
We show that the symplectic -product of two-dimensional star-shaped domains has an interior symplectomorphic to that of a symplectic ellipsoid. Adapting this construction, g…
math.SG2025
Parametric Gromov width of Liouville domains
Filip Broćić, Dylan Cant
The classical Gromov width measures the largest symplectic ball embeddable into a symplectic manifold; inspired by the symplectic camel problem, we generalize this to ask how large…
math.SG2024
A counterexample to Lagrangian Poincaré recurrence
Filip Broćić, Egor Shelukhin
We provide a counterexample to the Lagrangian Poincaré recurrence conjecture of Ginzburg and Viterbo in all dimensions and greater.