Polyfold and Fredholm Theory / Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics Bd.72 (PDF)

Helmut Hofer has contributed to nonlinear analysis, the theory of dynamical systems and symplectic geometry and topology. He is one of the founders of symplectic topology and is known for Hofer Geometry, his work on the Arnold conjectures and Weinstein conjecture, and, with various collaborators and co-authors, symplectic capacity theory, symplectic homology, symplectic field theory, finite energy foliations and their applications to dynamical systems, polyfold theory and feral curve theory. He currently holds the Hermann Weyl Professorship at the Institute for Advanced Study in Princeton.

Kris Wysocki has contributed to nonlinear analysis, the theory of dynamical systems and symplectic geometry and topology. He is known as one of the originators of the theory of finite energy foliations and its applications to Hamiltonian dynamics, the compactness result of symplectic field theory, applications of symplectic homology, and polyfold theory. At the time of his passinghe was Professor at Pennsylvania State University.


Eduard Zehnder is one of the founders of the field of symplectic topology. Well known are his contributions to Hamiltonian systems close to integrable ones. Jointly with C. Conley, he proved the Arnold Conjecture for symplectic fixed points on tori. This meanwhile classical result, referred to as the Conley-Zehnder Theorem, together with Gromov's pseudoholomorphic curve theory led Zehnder's student Andreas Floer to introduce the seminal concept of Floer Homology. With H. Hofer and K. Wysocki, he worked on global periodic phenomena in Hamiltonian and Reeb dynamics, compactness problems in symplectic field theory and on the theory and applications of polyfolds. He is currently Professor Emeritus at ETH Zurich.