A set of lecture notes presenting scale calculus and M-polyfolds, the Hofer-Wysocki-Zehnder framework for analysis on infinite-dimensional moduli spaces.
A General Fredholm Theory and Applications
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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.
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math.SG 1years
2019 1verdicts
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Scale Calculus and M-Polyfolds -- An Introduction
A set of lecture notes presenting scale calculus and M-polyfolds, the Hofer-Wysocki-Zehnder framework for analysis on infinite-dimensional moduli spaces.