Planar Lefschetz fibrations and Stein structures with distinct Ozsvath-Szabo invariants on corks
Geometric Topology
2016-07-27 v1 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1607.07661,
title = {Planar Lefschetz fibrations and Stein structures with distinct Ozsvath-Szabo invariants on corks},
author = {Cagri Karakurt and Takahiro Oba and Takuya Ukida},
journal= {arXiv preprint arXiv:1607.07661},
year = {2016}
}
Comments
10 pages, 8 figures