18 citations · 55 across the 5 of their papers we have counts for
6 papers
Polyfold and Fredholm Theory I: Basic Theory in M-Polyfolds
Helmut H. Hofer, Kris Wysocki, Eduard Zehnder
The main topic is the development of a Fredholm theory in a new class of spaces called M-polyfolds. In the subsequent Volume II the theory will be generalized to an even larger cla…
Applications of Polyfold Theory I: The Polyfolds of Gromov-Witten Theory
Helmut Hofer, Kris Wysocki, Eduard Zehnder
In this paper we start with the applications of polyfold theory to symplectic field theory.
Sc-Smoothness, Retractions and New Models for Smooth Spaces
Helmut Hofer, Kris Wysocki, Eduard Zehnder
We survey a (nonlinear) Fredholm theory for a new class of ambient spaces called polyfolds, and develop the analytical foundations for some of the applications of the theory. The b…
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…