English

Polyfolds and Fredholm Theory

Symplectic Geometry 2014-12-16 v1 Differential Geometry Functional Analysis

Abstract

We describe a (nonlinear) Fredholm theory for a new class of ambient spaces, as well as for a certain type of categories. The theory is illustrated by an application to the category of stable maps.

Keywords

Cite

@article{arxiv.1412.4255,
  title  = {Polyfolds and Fredholm Theory},
  author = {Helmut H. W. Hofer},
  journal= {arXiv preprint arXiv:1412.4255},
  year   = {2014}
}

Comments

90 pages, 1 figure. This article is a substantially updated version of arXiv:0809.3753

R2 v1 2026-06-22T07:30:14.613Z