18 citations · 47 across the 11 of their papers we have counts for
11 papers · 1 filter
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…
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…
Non-fillable invariant contact structures on principal circle bundles and left-handed twists
River Chiang, Fan Ding, Otto van Koert
We define symplectic fractional twists, which generalize Dehn twists, and use these in open books to investigate contact structures. The resulting contact structures are invariant…
Open books for Boothby-Wang bundles, fibered Dehn twists and the mean Euler characteristic
River Chiang, Fan Ding, Otto van Koert
We examine open books with powers of fibered Dehn twists as monodromy. The resulting contact manifolds can be thought of as Boothby-Wang orbibundles over symplectic orbifolds. Usin…