Ozsváth-Szabó invariants and fillability of contact structures
Ozsváth-Szabó invariants and fillability of contact structures
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接触结构的 Ozsváth-Szabó 不变量和可填充性
DOI：
10.1007/s00209-005-0892-8
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发表时间：
2004
影响因子：
0.8
通讯作者：
P. Ghiggini
中科院分区：
文献类型：
--
作者：
P. Ghiggini
最近Ozsváth和Szabó定义了一个切触结构的不变量，其值在Heegaard-Floer同调群中。他们还证明了一个版本的不变量与扭曲系数是非平凡的弱辛填充接触结构。本文证明了他们的非零结果对于无扭系数的接触不变量一般不成立。因此，Heegaard-Floer理论可以区分弱辛可填充接触结构和强辛可填充接触结构。
Recently Ozsváth and Szabó defined an invariant of contact structures with values in the Heegaard-Floer homology groups. They also proved that a version of the invariant with twisted coefficients is non trivial for weakly symplectically fillable contact structures. In this article we show that their non vanishing result does not hold in general for the contact invariant with untwisted coefficients. As a consequence of this fact Heegaard-Floer theory can distinguish between weakly and strongly symplectically fillable contact structures.