4 citations · 4 across the 8 of their papers we have counts for
9 papers · 1 filter
A counterexample to the generalized Viterbo conjecture on the spectral distance in a disc cotangent bundle
Filip Broćić, Baptiste Serraille, Ibrahim Trifa
We prove the unboundedness of the spectral distance on the space of Lagrangians Hamiltonian isotopic to the zero section within the disc cotangent bundle of a closed manifold satis…
Lengths of Reeb chords and Viterbo restriction
Filip Broćić, Dylan Cant
Let be a Legendrian in the contact boundary of a Liouville domain . We explain how the non-existence of Reeb chords with endpoints on of length up to enables one to…
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…
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…
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.
A note on the capacities of Lagrangian -sum
Filip Broćić
In this short note, we construct an explicit embedding of the rescaling of the -sum of the centrally symmetric convex domain and its polar …
The chord conjecture for conormal bundles
Filip Broćić, Dylan Cant, Egor Shelukhin
We prove Arnol'd's chord conjecture for all Legendrian submanifolds of cosphere bundles of closed manifolds isotopic to conormal bundles of closed submanifolds. Our method of proof…
Bordism classes of loops and Floer's equation in cotangent bundles
Filip Broćić, Dylan Cant
For each representative of a bordism class in the free loop space of a manifold, we associate a moduli space of finite length Floer cylinders in the cotangent bundle…
Riemannian distance and symplectic embeddings in cotangent bundle
Filip Broćić
Given an open neighborhood of the zero section in the cotangent bundle of we define a distance-like function on using certain symplectic embeddings from the stand…