416 citations · 488 across the 10 of their papers we have counts for
12 papers
The beginnings of symplectic topology in Bochum in the early eighties
Eduard Zehnder
I outline the history and the original proof of the Arnold conjecture on fixed points of Hamiltonian maps for the special case of the torus, leading to a sketch of the proof for ge…
Polyfold and Fredholm Theory
Helmut Hofer, Krzysztof Wysocki, Eduard Zehnder
This is a reference volume on polyfold and Fredholm theory.
Polyfolds and Fredholm Theory
Helmut H. W. Hofer
We describe a (nonlinear) Fredholm theory for a new class of ambient spaces, as well as for a certain type of categories. The theory is illustrated by an application to the categor…
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…