Published January 1, 2017
| Version v1
Journal article
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Planar Lefschetz fibrations and Stein structures with distinct Ozsvath Szabo invariants on corks
Creators
- 1. Bogazici Univ, Dept Math, TR-34342 Istanbul, Turkey
- 2. Tokyo Inst Technol, Dept Math, Meguro Ku, 2-12-1 Ookayama, Tokyo 1528551, Japan
Description
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 Spin(c) 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. (C) 2017 Elsevier B.V. All rights reserved.
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