Polyfolds and a general Fredholm theory
Kris Wysocki
Abstract
In this talk I will give a short survey of a general Fredholm theory for a new class of ambient spaces, called polyfolds. 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. Applications include the Gromov-Witten theory, the Floer theory and the Symplectic Field theory. This is a joint work H. Hofer and E. Zehnder.