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math.GT2000
Exotic structures and adjunction inequality
Selman Akbulut, Rostislav Matveyev
We reprove and strengthen some old difficult theorems of 4-manifolds by the aid of recently discovered modern tools, which involve contact structures on 3-manifolds, compact Stein…
math.GT2000
A Convex decomposition theorem for four-manifolds
Selman Akbulut, Rostislav Matveyev
We show that every smooth closed oriented four-manifold admits a decomposition into two co- dimension zero submanifolds with common boundary. Each of these submanifolds carries a s…