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20212026
most citedThe regularized free fall I -- Index computations

5 citations · 5 across the 13 of their papers we have counts for

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math.SG2025

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…

math.SG2025

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.

math.SG2025

A variational approach to time-dependent planar two-center Stark-Zeeman systems

Urs Frauenfelder, Seongchan Kim

We study periodic orbits in a time-dependent two-center Stark-Zeeman system, which models the motion of a charged particle attracted by two fixed Coulomb centers and subject to ext…

math.SG2025

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…

math.SG2025

Periodic orbits in time-dependent planar Stark-Zeeman systems

Urs Frauenfelder

Time-dependent Stark-Zeeman systems describe the motion of an electron attracted by a proton subject to a magnetic and a time-dependent electric field. For instance the study of th…

math.SG2025

Floerfolds and Floer functions

Urs Frauenfelder, Joa Weber

In this article we introduce the notion of Floer function which has the property that the Hessian is a Fredholm operator of index zero in a scale of Hilbert spaces. Since the Hessi…