4 papers · 1 filter
Open problems in billiards and quantitative symplectic geometry
Bernhard Albach, Jean-François Barraud, Misha Bialy +13
This document collects contributions to the Open Problem List in Billiards and Quantitative Symplectic Geometry, compiled following discussions during the workshop ``Billiards and…
A Poincaré--Birkhoff theorem for -Hamiltonian maps
Arthur Limoge, Agustin Moreno
We prove a higher-dimensional version of the well-known Poincaré--Birkhoff theorem, using Floer homology. We also prove a relative version for Lagrangian submanifolds. The motivat…
Bi-normal trajectories in the Circular Restricted Three-Body Problem
Agustin Moreno, Arthur Limoge
In this note, we show there exist infinitely many trajectories which are bi-normal (i.e. normal at initial and final times) to the xz-plane, in the Spatial Circular Restricted Thre…
A Relative Poincaré-Birkhoff theorem
Agustin Moreno, Arthur Limoge
In arXiv:2011.06562, the first author and Otto van Koert proved a generalized version of the classical Poincaré-Birkhoff theorem, for Liouville domains of any dimension. In this a…