A General Fredholm Theory III: Fredholm Functors and Polyfolds
Functional Analysis
2008-10-07 v1 Symplectic Geometry
Abstract
We describe a very general (nonlinear) Fredholm theory for a new class of ambient spaces, called polyfolds. The basic feature of these new spaces is that in general they may have locally varying dimensions. These new spaces are needed for a functional analytic treatment of nonlinear problems involving analytic limiting behavior. This theory is applicable to Gromov-Witten and Floer Theory as well as Symplectic Field Theory.
Keywords
Cite
@article{arxiv.0810.0736,
title = {A General Fredholm Theory III: Fredholm Functors and Polyfolds},
author = {Helmut Hofer and Kris Wysocki and Eduard Zehnder},
journal= {arXiv preprint arXiv:0810.0736},
year = {2008}
}
Comments
119 pages, 3 figures