8 papers
Merry-go-round and time-dependent symplectic forms
Urs Frauenfelder, Joa Weber
In the merry-go-round fictitious forces are acting like centrifugal force and Coriolis force. Like the Lorentz force Coriolis force is velocity dependent and, following Arnold, can…
Towards a Floer theory for Mars II -- Floer Hessian field almost extends
Urs Frauenfelder, Joa Weber
In part I, \cite{Frauenfelder:2026c}, we showed that collisional periodic orbits of twisted Zeeman systems can be detected variationally by a non-local Hamiltonian action functiona…
Towards a Floer theory for Mars I -- Twisted Zeeman systems
Urs Frauenfelder, Joa Weber
In this article we study periodic orbits of an electron attracted by a proton subject to Lorentz, electric, and Euler forces where each of them is allowed to depend periodically on…
The Linearized Floer Equation in a Chart
Urs Frauenfelder, Joa Weber
In this article, we are considering the Hessian of the area functional in a non-Darboux chart. This does not seem to have been considered before and leads to an interesting new mat…
Loop space blow-up and scale calculus
Urs Frauenfelder, Joa Weber
In this note we show that the Barutello-Ortega-Verzini regularization map is scale smooth.
Hilbert manifold structures on path spaces
Urs Frauenfelder, Joa Weber
In Floer theory one has to deal with two-level manifolds like for instance the space of loops and the space of loops. Gradient flow lines in Floer theory are th…