Floerfolds and Floer functions
Symplectic Geometry
2025-02-04 v1 Analysis of PDEs
Differential Geometry
Abstract
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 Hessian has a complicated transformation under chart transition, in general this is not an intrinsic condition. Therefore we introduce the concept of Floerfolds for which we show that the notion of Floer function is intrinsic.
Cite
@article{arxiv.2502.00216,
title = {Floerfolds and Floer functions},
author = {Urs Frauenfelder and Joa Weber},
journal= {arXiv preprint arXiv:2502.00216},
year = {2025}
}
Comments
19 pages