A General Fredholm Theory and Applications

Details A General Fredholm Theory and Applications A General Fredholm Theory and Applications

2005-09-16

arxiv.org/abs/math/0509366v1

Mathematics

Symplectic Geometry

77 Pages, 4 figures

Scientific paper

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.

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