20 citations · 68 across the 24 of their papers we have counts for
26 papers
The Cartan-Kähler theorem for exterior differential systems on transitive Lie algebroids
Sonja Hohloch, Tom Mestdag, Kenzo Yasaka
The notion of an exterior differential system (on a manifold) has recently been extended to the setting of a Lie algebroid. Here, we further develop the theory and we present two v…
Selected aspects of the Korteweg-de Vries equation
Sonja Hohloch, Federico Zadra
These lecture notes grew out of notes for courses around Integrable PDEs and the KdV equation given by the authors during the past five years at the University of Antwerp (Belgium)…
Homoclinic Floer homology via direct limits
Sonja Hohloch
Assume to be or a closed surface of genus and a symplectic form on . Let be a symplectomorphism with hyperbolic fixed point and…
Recent examples of hypersemitoric systems and first steps towards a classification: a brief survey
Yannick Gullentops, Sonja Hohloch
Hypersemitoric systems are 2-degree-of-freedom integrable systems on 4-dimensional manifolds that have an underlying -symmetry and no degenerate singularities apart from maybe…
The twisting index in semitoric systems
Jaume Alonso, Sonja Hohloch, Joseph Palmer
Semitoric integrable systems were symplectically classified by Pelayo and Vu Ngoc in 2009-2011 in terms of five invariants. Four of these invariants were already well-understood pr…
Towards Hypersemitoric Systems
Tobias Våge Henriksen, Sonja Hohloch, Nikolay N. Martynchuk
This survey gives a short and comprehensive introduction to a class of finite-dimensional integrable systems known as hypersemitoric systems, recently introduced by Hohloch and Pal…