Polyfolds And A General Fredholm Theory
Symplectic Geometry
2008-09-23 v1 Functional Analysis
Abstract
We survey a very general (nonlinear) Fredholm theory for a new class of ambient spaces, called polyfolds. This theory is being currently developed jointly with K. Wysocki and E. Zehnder. 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.
Cite
@article{arxiv.0809.3753,
title = {Polyfolds And A General Fredholm Theory},
author = {Helmut Hofer},
journal= {arXiv preprint arXiv:0809.3753},
year = {2008}
}
Comments
57 pages, 1 figure