Planar Lefschetz fibrations and Stein structures with distinct Ozsvath-Szabo invariants on corks
Planar Lefschetz fibrations and Stein structures with distinct Ozsvath-Szabo invariants on corks
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DOI：
10.1016/j.topol.2017.02.072
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发表时间：
2016-07
期刊：
影响因子：
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通讯作者：
C. Karakurt;T. Ōba;Takuya Ukida
中科院分区：
文献类型：
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作者：
C. Karakurt;T. Ōba;Takuya Ukida
由于Lisca和Matić的结果以及Plamenevskaya的改进，已知在具有边界的4-流形上，具有非同构Spin c结构的Stein结构诱导具有不同Ozsváth-Szabó不变量的接触结构。在这里，我们给出了一个无限族的例子，表明Lisca-Matić-Plamenevskaya定理的匡威一般不成立。我们的例子来自Mazur型软木塞。
Thanks to a result of Lisca and Matić and a refinement by Plamenevskaya, it is known that on a 4-manifold with boundary Stein structures with non-isomorphic Spin c structures induce contact structures with distinct Ozsváth–Szabó invariants. Here we give an infinite family of examples showing that converse of Lisca–Matić–Plamenevskaya theorem does not hold in general. Our examples arise from Mazur type corks.