Sonja Hohloch

activity

20082026

most citedTaylor series and twisting-index invariants of coupled spin-oscillators

20 citations · 68 across the 24 of their papers we have counts for

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15 papers · 1 filter

math.SG2024★ 2 cited

Homoclinic Floer homology via direct limits

Sonja Hohloch

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

math.SG2023

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…

math.SG2023★ 1 cited

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…

math.SG2023★ 5 cited

Constructions of b-semitoric systems

Joaquim Brugués, Sonja Hohloch, Pau Mir +1

In this article, we introduce $b$ -semitoric systems as a generalization of semitoric systems, specifically tailored for $b$ -symplectic manifolds. The objective of this article is t…

math.SG2022

Point vortex dynamics on Kähler twistor spaces

Sonja Hohloch, Guner Muarem

In this paper, we provide tools to study the dynamics of point vortex dynamics on $CP^{n}$ and the flag manifold $F_{1, 2} (C^{3})$ . These are the only Kähler…

math.SG2021

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 $(M, ω)$ and smooth function $J : M \to R$ which generates an effective $S^{1}$ -action, we show t…