An invariant of rational homology 3–spheres via vector fields

An invariant of rational homology 3–spheres via vector fields
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有理同调 3-球体通过向量场的不变量

DOI:
10.2140/agt.2016.16.3073
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发表时间:
2013
影响因子:
0.7
通讯作者:
Tatsuro Shimizu
Tatsuro Shimizu
中科院分区:
数学3区
文献类型:
--
作者:
Tatsuro Shimizu

文献摘要

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通过向量场定义了有理同调三球的一个不变量。我们的不变量的构造是kontsevic - kuperberg - thurston不变量和Watanabe的Morse同伦不变量的构造的推广,这意味着这两个不变量是等价的。
We define an invariant of rational homology 3-spheres via vector fields. The construction of our invariant is a generalization of both that of the Kontsevich-Kuperberg-Thurston invariant and that of Watanabe's Morse homotopy invariant, which implies the equivalence of these two invariants.