The shift map on Floer trajectory spaces

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, Hyperkähler, elliptic or parabolic, and uses Hilbert space valued Sobolev theory.

32 pages, 3 figures

Cited by in corpus (3)

• The regularized free fall I -- Index computations
• Periodic delay orbits and the polyfold implicit function theorem
• The regularized free fall II -- Homology computation via heat flow