11 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 kei word metric on the transvection group and its unit ball
Urs Frauenfelder, Lei Zhao
We define a bi-invariant word metric on a group using keis. We discuss whether such a word metric is trivial or non-trivial in various examples coming from group theory, dynamical…
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.