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math.SG2025
Outer symplectic billiard map at infinity
Peter Albers, Ana Chavez Caliz, Serge Tabachnikov
We show that the second iteration of the outer symplectic billiard map with respect to a convex domain in a symplectic vector space is approximated by an explicit Hamilto…
math.SG2024
Outer symplectic billiards
Peter Albers, Ana Chavez Caliz, Serge Tabachnikov
A submanifold of the standard symplectic space determines a partially defined, multi-valued symplectic map, the outer symplectic billiard correspondence. Two points are in this cor…
math.SG2023★ 1 cited
Floer potentials, cluster algebras and quiver representations
Peter Albers, Maria Bertozzi, Markus Reineke
We use cluster algebras to interpret Floer potentials of monotone Lagrangian tori in toric del Pezzo surfaces as cluster characters of quiver representations.