Sc-Smoothness, Retractions and New Models for Smooth Spaces

Details Sc-Smoothness, Retractions and New Models for Smooth Spaces Sc-Smoothness, Retractions and New Models for Smooth Spaces

2010-02-17

arxiv.org/abs/1002.3381v1

Mathematics

Functional Analysis

178 pages, 8 figures

Scientific paper

We survey a (nonlinear) Fredholm theory for a new class of ambient spaces called polyfolds, and develop the analytical foundations for some of the applications of the theory. The basic feature of these new spaces, which can be finite and infinite dimensional, is that in general they may have locally varying dimensions. These new spaces are needed for a functional analytic treatment of nonlinear problems involving analytic limiting behavior like bubbling-off. The theory is applicable to Gromov-Witten and Floer Theory as well as Symplectic Field Theory.

Affiliated with

Also associated with

No associations

Rating

Sc-Smoothness, Retractions and New Models for Smooth Spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Sc-Smoothness, Retractions and New Models for Smooth Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sc-Smoothness, Retractions and New Models for Smooth Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-404400