Planar Lefschetz fibrations and Stein structures with distinct Ozsvath-Szabo invariants on corks

Cagri Karakurt; Takahiro Oba; Takuya Ukida

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arXiv · 1607.07661

Planar Lefschetz fibrations and Stein structures with distinct Ozsvath-Szabo invariants on corks

Cagri Karakurt·Takahiro Oba·Takuya Ukida

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Abstract

Thanks to a result of Lisca and Matic and a refinement by Plamenevskaya, it is known that on a 4-manifold with boundary Stein structures with non-isomorphic Spinc structures induce contact structures with distinct Ozsvath-Szabo invariants. Here we give an infinite family of examples showing that converse of Lisca-Matic-Plamenevskaya theorem does not hold in general. Our examples arise from Mazur type corks.

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Cagri Karakurt, Takahiro Oba, Takuya Ukida. 2016-07-26. Planar Lefschetz fibrations and Stein structures with distinct Ozsvath-Szabo invariants on corks. https://arxiv.org/abs/1607.07661

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