A General Fredholm Theory and Applications

Abstract

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.

77 Pages, 4 figures

References in corpus (2)

• Orbifolds as Groupoids: an Introduction
• Lagrangian Intersections and the Serre Spectral Sequence

Cited by in corpus (8)

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• Complex Path Integrals and the Space of Theories
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• Weakly Smooth Structures in Gromov-Witten Theory
• Higher-degree Smoothness of Perturbations III
• On Linear Part of Filled-Section in Splicing
• Groupoids, branched manifolds and multisections