弗洛尔轨迹空间上的移位映射

IF 0.6 3区数学 Q3 MATHEMATICS

Journal of Symplectic Geometry Pub Date : 2018-03-10 DOI:10.4310/JSG.2021.v19.n2.a2

U. Frauenfelder, Joa Weber

引用次数: 7

摘要

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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, Hyperk\"ahler, elliptic or parabolic, and uses Hilbert space valued Sobolev theory.

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来源期刊

Journal of Symplectic Geometry 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high quality papers on all aspects of symplectic geometry, with its deep roots in mathematics, going back to Huygens’ study of optics and to the Hamilton Jacobi formulation of mechanics. Nearly all branches of mathematics are treated, including many parts of dynamical systems, representation theory, combinatorics, packing problems, algebraic geometry, and differential topology.