一个小类型结果及其在接触同源性中的应用

IF 0.2 Q4 MATHEMATICS

Bruno Pini Mathematical Analysis Seminar Pub Date : 2014-12-30 DOI:10.6092/ISSN.2240-2829/4718

Vittorio Martino

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引用次数: 0

摘要

本文将证明将Legendrian循环空间的合适子空间注入到满循环空间是s1 -等变同伦等价。此外，由于较小的空间是给定作用泛函的变分空间，我们将计算三维环面上一组紧密接触形式的相对接触同调。

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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A Smale Type Result and Applications to Contact Homology

In this note we will show that the injection of a suitable subspace of the space of Legendrian loops into the full loop space is an S 1 -equivariant homotopy equivalence. Moreover, since the smaller space is the space of variations of a given action functional, we will compute the relative Contact Homology of a family of tight contact forms on the three-dimensional torus.

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来源期刊

Bruno Pini Mathematical Analysis Seminar MATHEMATICS-

CiteScore

0.30

自引率

0.00%

发文量

审稿时长

15 weeks