A General Fredholm Theory III: Fredholm Functors and Polyfolds

Autor: Hofer, Helmut, Wysocki, Kris, Zehnder, Eduard
Rok vydání: 2008
Předmět:
Druh dokumentu: Working Paper
Popis: 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 locally varying dimensions. These new spaces are needed for a functional analytic treatment of nonlinear problems involving analytic limiting behavior. This theory is applicable to Gromov-Witten and Floer Theory as well as Symplectic Field Theory.
Comment: 119 pages, 3 figures
Databáze: arXiv