A General Fredholm Theory and Applications

Helmut H. Hofer

A General Fredholm Theory and Applications

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arxiv math/0509366 v1 pith:QOCGZBK3 submitted 2005-09-16 math.SG math.FA

Helmut H. Hofer This is my paper · ORCID

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keywords theoryapplicablefredholmgeneralambientanalyticalapplicationsbehaviour

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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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Scale Calculus and M-Polyfolds -- An Introduction
math.SG 2019-08 unverdicted novelty 3.0 of 10

A set of lecture notes presenting scale calculus and M-polyfolds, the Hofer-Wysocki-Zehnder framework for analysis on infinite-dimensional moduli spaces.

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