416 citations · 431 across the 5 of their papers we have counts for
6 papers
Genus zero global surfaces of section for Reeb flows and a result of Birkhoff
Umberto L. Hryniewicz, Pedro A. S. Salomão, Krzysztof Wysocki
We exhibit sufficient conditions for a finite collection of periodic orbits of a Reeb flow on a closed -manifold to bound a positive global surface of section with genus zero. T…
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…
A General Fredholm Theory II: Implicit Function Theorems
Helmut Hofer, Kris Wysocki, Eduard Zehnder
This is the revised version of the second paper in a series introducing a generalized Fredholm theory in a new class of smooth spaces called polyfolds. The theory will be illustrat…
Branch structure of J-holomorphic curves near periodic orbits of a contact manifold
Adam Harris, Krzysztof Wysocki
Let be a three-dimensional contact manifold and a finite-energy pseudoholomorphic map from a punctured disc in , that is asympt…
Compactness results in Symplectic Field Theory
F Bourgeois, Y Eliashberg, H Hofer +2
This is one in a series of papers devoted to the foundations of Symplectic Field Theory sketched in [Y Eliashberg, A Givental and H Hofer, Introduction to Symplectic Field Theory,…