Category
page 14-manifolds
exotic R4
A smooth 4-manifold homeomorphic yet not diffeomorphic to euclidean space
4-manifold
In mathematics, a 4-manifold is a 4-dimensional topological manifold. A smooth 4-manifold is a 4-manifold with a smooth structure. In dimension four, in marked contrast with lower dimensions, topological and smooth manifolds are quite different. There exist some topological 4-manifolds which admit no smooth structure, and even if there exists a smooth structure, it need not be unique (i.e. there are smooth 4-manifolds which are homeomorphic but not diffeomorphic).
Seiberg–Witten invariant
invariant of smooth four-manifolds defined by gauge theory
Donaldson theory
Study in mathematical gauge theory
E8 manifold
A simply connected 4-manifold with intersection form the E8 lattice