A General Fredholm Theory and Applications
arXiv:math/0509366
Abstract
We describe a very general (nonlinear) Fredholm theory for a new class of ambient spaces, called polyfolds. This theory is applicable to Gromov-Witten and Floer Theory as well as Symplectic Field Theory. It should also be applicable to a wider range of elliptic problems with analytical limiting behaviour.
77 Pages, 4 figures