English

The shift map on Floer trajectory spaces

Symplectic Geometry 2022-10-20 v1 Functional Analysis

Abstract

In this article we give a uniform proof why the shift map on Floer homology trajectory spaces is scale smooth. This proof works for various Floer homologies, periodic, Lagrangian, Hyperk\"ahler, elliptic or parabolic, and uses Hilbert space valued Sobolev theory.

Keywords

Cite

@article{arxiv.1803.03826,
  title  = {The shift map on Floer trajectory spaces},
  author = {Urs Frauenfelder and Joa Weber},
  journal= {arXiv preprint arXiv:1803.03826},
  year   = {2022}
}

Comments

32 pages, 3 figures

R2 v1 2026-06-23T00:48:31.938Z