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The shift map on Floer trajectory spaces

The shift map on Floer trajectory spaces

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. 1 Introduction 351 2 Shift map on loop spaces 355 3 …