Kouichi Yasui
Small exotic Stein manifolds.
Wed, 08/19/2009 - 19:30 — SomNambulAuthors: Selman Akbulut, Kouichi Yasui
Subjects: Geometric Topology
AbstractIt is known that the only Stein filling of the standard contact structure on
S^3 is B^4. In this paper, we construct simply connected exotic compact Stein
4-manifold pairs for any Betti number $b_2 \geq 1$; we do this by enlarging
corks and plugs.Knotting corks.
Wed, 08/19/2009 - 19:30 — SomNambulAuthors: Selman Akbulut, Kouichi Yasui
Subjects: Geometric Topology
AbstractIt is known that every exotic smooth structure on a simply connected closed
4-manifold is determined by a codimention zero compact contractible Stein
submanifold and an involution on its boundary. Such a pair is called a cork. In
this paper, we construct infinitely many knotted imbeddings of corks in
4-manifolds such that they induce infinitely many different exotic smooth
structures.
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