Filip Broćić

activity

20242026

collaborators

Showing math.SGShow all

5 papers · 1 filter

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…

math.SG2024

Filip BroÄiÄ, Egor Shelukhin

We provide a counterexample to the Lagrangian PoincarÃ© recurrence conjecture of Ginzburg and Viterbo in all dimensions $6$ and greater.

math.SG2024

A note on the capacities of Lagrangian $p$ -sum

Filip BroÄiÄ

In this short note, we construct an explicit embedding of the rescaling of the $p$ -sum $K \oplus_{p} K^{\circ}$ of the centrally symmetric convex domain $K$ and its polar $K^{\circ}$ …

Lengths of Reeb chords and Viterbo restriction

A note on the wild symplectic ellipsoids

Parametric Gromov width of Liouville domains

A counterexample to Lagrangian PoincarÃ© recurrence

A note on the capacities of Lagrangian p-sum

A note on the capacities of Lagrangian $p$ -sum