Infinitely many small exotic Stein fillings

2012/08/05 by Selman Akbulut, Akbulut, Selman, Kouichi Yasui +1
Mathematics · #57R17 #57R55 #57R65 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Symplectic Geometry (math.SG) #math.GT #math.SG #msc:57R17 #msc:57R55 #msc:57R65

paper · pdf · doi:10.48550/arxiv.1208.1053

9 pages, 7 figures, revised, a new section added

openalex publication_date 2012/08/05 · arxiv created 2013/04/09 · arxiv updated 2013/04/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that there exist infinitely many simply connected compact Stein 4-manifolds with b₂=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.

Related

• Small exotic Stein manifolds
• A note on Stein fillings of contact manifolds
• Planar contact 3-manifolds with infinitely many Stein fillings
• Higher-dimensional contact manifolds with infinitely many Stein fillings
• Cork twisting exotic Stein 4-manifolds