Sonja Hohloch

activity

20242026

collaborators

Showing math.SGShow all

2 papers · 1 filter

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.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…

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

Homoclinic Floer homology via direct limits

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