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The shift map on Floer trajectory spaces

· 2018 · math.SG · arXiv 1803.03826

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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.

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math.SG 1

years

2025 1

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  • Loop space blow-up and scale calculus math.SG · 2025-09-09 · accept · none · ref 3 · internal anchor

    The Barutello-Ortega-Verzini regularization map on the smooth loop space is scale smooth.