This is the first paper in a series introducing a generalized Fredholm theory in a new class of smooth spaces called polyfolds. The theory will be illustrated in upcoming papers by applications to Floer Theory, Gromov-Witten Theory and Symplectic Field Theory.
arXiv Mathematics e-prints
- Pub Date:
- December 2006
- Mathematics - Functional Analysis;
- Mathematics - Differential Geometry;
- Mathematics - Symplectic Geometry;
- Some typos corrected and some minor changes. To appear Journal of the European Mathematical Society