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

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

2006-12-20

arxiv.org/abs/math/0612604v2

Mathematics

Functional Analysis

Some typos corrected and some minor changes. To appear Journal of the European Mathematical Society

Scientific paper

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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