20 citations · 68 across the 24 of their papers we have counts for
5 papers · 2 filters
Taylor series and twisting-index invariants of coupled spin-oscillators
Jaume Alonso, Holger R. Dullin, Sonja Hohloch
About six years ago, semitoric systems on 4-dimensional manifolds were classified by Pelayo & Vu Ngoc by means of five invariants. A standard example of such a system is the couple…
A family of compact semitoric systems with two focus-focus singularities
Sonja Hohloch, Joseph Palmer
About 6 years ago, semitoric systems were classified by Pelayo & Vu Ngoc by means of five invariants. Standard examples are the coupled spin oscillator on $\mathbb{S}^2 \times \mat…
Faithful Semitoric Systems
Sonja Hohloch, Silvia Sabatini, Daniele Sepe +1
This paper consists of two parts. The first provides a review of the basic properties of integrable and almost-toric systems, with a particular emphasis on the integral affine stru…
Homoclinic points and Floer homology
Sonja Hohloch
A new relation between homoclinic points and Lagrangian Floer homology is presented: In dimension two, we construct a Floer homology generated by primary homoclinic points. We comp…
Computational complexity, torsion-freeness of homoclinic Floer homology, and homoclinic Morse inequalities
Sonja Hohloch
Floer theory was originally devised to estimate the number of 1-periodic orbits of Hamiltonian systems. In earlier works, we constructed Floer homology for homoclinic orbits on two…