A general Fredholm theory III: Fredholm functors and polyfolds
Copyright policy )A general Fredholm theory III: Fredholm functors and polyfolds
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.
119 pages, 3 figures
- New York University United States
- Pennsylvania State University United States
Symplectic and contact topology in high or arbitrary dimension, 58C99, 58B99, Fredholm section of polyfold bundle., branched suborbifold, Fredholm section of polyfold bundle, ep-groupoid, 46T99, Functional Analysis (math.FA), Nonlinear functional analysis, Mathematics - Functional Analysis, 46T05,46T99, 53C99, 53D50,53D40,54CXX,58B99, 58D27,58J05, strong polyfold bundle, Mathematics - Symplectic Geometry, Symplectic aspects of Floer homology and cohomology, FOS: Mathematics, Symplectic Geometry (math.SG), Fredholm structures on infinite-dimensional manifolds, polyfold, 57R17
Symplectic and contact topology in high or arbitrary dimension, 58C99, 58B99, Fredholm section of polyfold bundle., branched suborbifold, Fredholm section of polyfold bundle, ep-groupoid, 46T99, Functional Analysis (math.FA), Nonlinear functional analysis, Mathematics - Functional Analysis, 46T05,46T99, 53C99, 53D50,53D40,54CXX,58B99, 58D27,58J05, strong polyfold bundle, Mathematics - Symplectic Geometry, Symplectic aspects of Floer homology and cohomology, FOS: Mathematics, Symplectic Geometry (math.SG), Fredholm structures on infinite-dimensional manifolds, polyfold, 57R17
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