A General Fredholm Theory I: A Splicing-Based Differential Geometry
arXiv:math/0612604
Abstract
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.
Some typos corrected and some minor changes. To appear Journal of the European Mathematical Society