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A General Fredholm Theory I: A Splicing-Based Differential Geometry

Helmut Hofer·Kris Wysocki·Eduard Zehnder
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Abstract

This is the first paper in a series introducing a generalized Fredholm theory in a new class of smooth spaces called polyfolds. The theory will be illustrated in upcoming papers by applications to Floer Theory, Gromov-Witten Theory and Symplectic Field Theory.

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Helmut Hofer, Kris Wysocki, Eduard Zehnder. 2007-04-15. A General Fredholm Theory I: A Splicing-Based Differential Geometry. https://arxiv.org/abs/math/0612604

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