On the Floer homology of plumbed three-manifolds

On the Floer homology of plumbed three-manifolds
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管状三流形的Floer同调

DOI:
10.2140/gt.2003.7.185
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发表时间:
2002
影响因子:
2
通讯作者:
Z. Szabó
Z. Szabó
中科院分区:
数学1区
文献类型:
--
作者:
P. Ozsváth;Z. Szabó

文献摘要

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我们计算了Heegaard Floer同调的三维流形的铅垂球指定的某些图。我们的类图是足够大的描述,例如,所有塞弗特纤维理性同调球。这些计算也可以用来确定其他三流形的这些群,包括一个圆与亏格两个曲面的乘积。
We calculate the Heegaard Floer homologies for three-manifolds obtained by plumbings of spheres specified by certain graphs. Our class of graphs is sufficiently large to describe, for example, all Seifert fibered rational homology spheres. These calculations can be used to determine also these groups for other three-manifolds, including the product of a circle with a genus two surface.