Definition of cylindrical contact homology in dimension three

Definition of cylindrical contact homology in dimension three
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第三维圆柱接触同调的定义

DOI:
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发表时间:
2014
影响因子:
1.1
通讯作者:
K. Honda
K. Honda
中科院分区:
数学1区
文献类型:
--
作者:
Erkao Bao;K. Honda

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本文给出了接触三维流形的柱接触同调的严格定义,该流形允许非退化的接触形式且不具有可收缩的Reeb轨道,并证明了柱接触同调是接触结构的不变量.
In this paper we give a rigorous definition of cylindrical contact homology for contact 3‐manifolds that admit nondegenerate contact forms with no contractible Reeb orbits, and show that the cylindrical contact homology is an invariant of the contact structure.