Journal of Symplectic Geometry
Volume 12 (2014)
Infinitely many small exotic Stein fillings
Pages: 673 – 684
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.