Sonja Hohloch

activity

20242026

collaborators

4 papers

math.SG2026

Extending compact Hamiltonian $S^{1}$ -spaces to integrable systems with mild degeneracies in dimension four

Sonja Hohloch, Joseph Palmer

Given any compact connected four dimensional symplectic manifold $(M, I ¨ )$ and smooth function $J : M \to R$ which generates an effective $S^{1}$ -action, we show…

math.DG2026

The Cartan-KÃ¤hler 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…

math.SG2025

Homoclinic Floer homology via direct limits

Sonja Hohloch

Assume $M$ to be $R^{2}$ or a closed surface of genus $g \geq 1$ and $I ¨ $ a symplectic form on $M$ . Let $I ¨ : M \to M$ be a symplectomorphism with hyperbolic fixed point $x$ a…

nlin.SI2024

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)…

Extending compact Hamiltonian S1-spaces to integrable systems with mild degeneracies in dimension four

The Cartan-KÃ¤hler theorem for exterior differential systems on transitive Lie algebroids

Homoclinic Floer homology via direct limits

Selected aspects of the Korteweg-de Vries equation

Extending compact Hamiltonian $S^{1}$ -spaces to integrable systems with mild degeneracies in dimension four