The shift map on Floer trajectory spaces

Pub Date : 2018-03-10 DOI:10.4310/JSG.2021.v19.n2.a2
U. Frauenfelder, Joa Weber
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引用次数: 7

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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弗洛尔轨迹空间上的移位映射
本文给出了花同调轨迹空间上的位移映射是尺度光滑的一致证明。该证明适用于各种花同调、周期同调、拉格朗日同调、超赫勒同调、椭圆同调或抛物同调,并使用希尔伯特空间值索博列夫理论。
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