nLab polyfold

Redirected from "polyfolds".
Contents

Contents

Idea

The notion of polyfolds, due to Helmut Hofer, is a notion of generalized smooth spaces. The bulk of the theory is a generalized approach to Fredholm operator analysis in geometrical situations; which can be considered as an analytic framework designed to systematically resolve the issue of transversality. It gives a unified framework for symplectic field theory, Floer homology, and some constructions in contact geometry etc.

References

Reviews

Original articles

We thank Eugene Lerman for some of the information here.

Last revised on April 7, 2021 at 05:20:19. See the history of this page for a list of all contributions to it.