The Linearized Floer Equation in a Chart
Symplectic Geometry
2026-04-02 v2 Analysis of PDEs
Functional Analysis
Abstract
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 mathematical structure which we introduce in this article and refer to as almost extendable weak Hessian field. Our main result is a Fredholm theorem for Robbin-Salamon operatorsassociated to non-continuous Hessians which we prove by taking advantage of this new structure.
Cite
@article{arxiv.2510.20945,
title = {The Linearized Floer Equation in a Chart},
author = {Urs Frauenfelder and Joa Weber},
journal= {arXiv preprint arXiv:2510.20945},
year = {2026}
}