18 citations · 47 across the 11 of their papers we have counts for
14 papers
Computational symplectic topology and symmetric orbits in the restricted three-body problem
Chankyu Joung, Otto van Koert
In this paper we propose a computational approach to proving the Birkhoff conjecture on the restricted three-body problem, which asserts the existence of a disk-like global surface…
Expectation of topological invariants
Taejin Paik, Otto van Koert
In this paper, we study the expectation values of topological invariants of the Vietoris-Rips complex and Čech complex for a finite set of sample points on a Riemannian manifold. W…
A generalized Poincaré-Birkhoff theorem
Agustin Moreno, Otto van Koert
We prove a generalization of the classical Poincaré--Birkhoff theorem for Liouville domains, in arbitrary even dimensions. This is inspired by the existence of global hypersurfaces…
The Omega limit set of a family of chords
Edward Belbruno, Urs Frauenfelder, Otto van Koert
In this paper we study the limit behavior of a family of chords on compact energy hypersurfaces of a family of Hamiltonians. Under the assumption that the energy hypersurfaces are…
A convex embedding for the rotating Kepler problem
Urs Frauenfelder, Otto van Koert, Lei Zhao
In this note, we prove that below the first critical energy level, a proper combination of the Ligon-Schaaf and Levi-Civita regularization mappings provides a convex symplectic emb…
Contact open books with exotic pages
Burak Ozbagci, Otto van Koert
We consider a fixed contact 3-manifold that admits infinitely many compact Stein fillings which are all homeomorphic but pairwise non-diffeomorphic. Each of these fillings gives ri…