FLOER HOMOLOGY OF TOPOLOGICAL IMITATIONS OF HOMOLOGY 3-SPHERES
FLOER HOMOLOGY OF TOPOLOGICAL IMITATIONS OF HOMOLOGY 3-SPHERES
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同调 3-球体的拓扑模拟的 FLOER 同调
DOI：
10.1142/s0218216598000048
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
A. Kawauchi
中科院分区：
文献类型：
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作者：
A. Kawauchi
为了计算给定同调三维球面的拓扑模仿的Floer同调，我们引入了同调三维球面或其中纽结的弱切片的概念。我们得到了Floer同调的一个定性结果。特别地，构造了无穷多个具有相同Floer同调的双曲同调3-球面作为每个给定同调3-球面的拓扑模仿。对Floer同调的连通和和周期性问题也进行了讨论。
We introduce the notion of weak slice for a homology 3-sphere or a knot in it in order to compute the Floer homology of topological imitations of a given homology 3-sphere. We obtain a qualitative result on the Floer homology. In particular, infinitely many hyperbolic homology 3-spheres with the same Floer homology are constructed as topological imitations of every given homology 3-sphere. The well-known connected sum and periodicity questions on the Floer homology are also discussed.