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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
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
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…