A General Fredholm Theory I: A Splicing-Based Differential Geometry
  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. 
Helmut Hofer, Kris Wysocki, Eduard Zehnder