Filip Broćić

collaborators

3 papers

math.SG2026

Lengths of Reeb chords and Viterbo restriction

Filip BroÄiÄ, Dylan Cant

Let $I^$ be a Legendrian in the contact boundary of a Liouville domain $I^c ◯$ . We explain how the non-existence of Reeb chords with endpoints on $I^$ of length up to $a$ enables one…

math.SG2025

A note on the wild symplectic ellipsoids

Filip BroÄiÄ, Stefan MatijeviÄ

We show that the symplectic $2$ -product of $n$ 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 BroÄiÄ, 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…