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arxiv: 1208.1053 · v3 · pith:KLIGVDHKnew · submitted 2012-08-05 · 🧮 math.GT · math.SG

Infinitely many small exotic Stein fillings

classification 🧮 math.GT math.SG
keywords steinfillingsinfinitelymanytheyboundariescompactconnected
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We show that there exist infinitely many simply connected compact Stein 4-manifolds with b_2=2 such that they are all homeomorhic but mutually non-diffeomorphic, and they are Stein fillings of the same contact 3-manifold on their boundaries. We also describe their handlebody pictures.

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