A General Fredholm Theory I: A Splicing-Based Differential Geometry
Functional Analysis
2007-06-13 v2 Differential Geometry
Symplectic Geometry
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.
Cite
@article{arxiv.math/0612604,
title = {A General Fredholm Theory I: A Splicing-Based Differential Geometry},
author = {Helmut Hofer and Kris Wysocki and Eduard Zehnder},
journal= {arXiv preprint arXiv:math/0612604},
year = {2007}
}
Comments
Some typos corrected and some minor changes. To appear Journal of the European Mathematical Society