2005/09/16 by Helmut Hofer, Helmut H. Hofer, Hofer, Helmut H. · 2 citations
Mathematics · #46T05 #53D40 #53D50 #54CXX #58D27 #58J05 #Algebraic Geometry and Number Theory #FOS: Mathematics #Functional Analysis (math.FA) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.FA #math.SG #msc:46T05 #msc:53D40 #msc:53D50 #msc:54CXX #msc:58D27 #msc:58J05
paper · pdf · doi:10.48550/arxiv.math/0509366
77 Pages, 4 figures
arxiv created 2005/09/16 · openalex publication_date 2005/09/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe a very general (nonlinear) Fredholm theory for a new class of ambient spaces, called polyfolds. This theory is applicable to Gromov-Witten and Floer Theory as well as Symplectic Field Theory. It should also be applicable to a wider range of elliptic problems with analytical limiting behaviour.