14 citations · 26 across the 3 of their papers we have counts for
3 papers · 1 filter
A General Fredholm Theory III: Fredholm Functors and Polyfolds
Helmut Hofer, Kris Wysocki, Eduard Zehnder
We describe a very general (nonlinear) 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 l…
Integration Theory for Zero Sets of Polyfold Fredholm Sections
Helmut Hofer, Kris Wysocki, Eduard Zehnder
In this paper we develop an integration theory for zero sets of polyfold Fredholm sections. The results are needed in the application of the polyfold theory. We use it for example…
A General Fredholm Theory I: A Splicing-Based Differential Geometry
Helmut Hofer, Kris Wysocki, Eduard Zehnder
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…