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K-State Today

November 13, 2014

Mathematics Colloquium 1xbet best casino website Nov. 13

Submitted by Reta McDermott

Kouichi Yasui, Hiroshima University and Michigan State University, will present "Corks and Exotic Smooth Structures on 4-Manifolds" as part of the Mathematics Department Colloquium 1xbet best casino website series at 2:30 p.m. Thursday, Nov. 13, in 122 Cardwell Hall.

The abstract for the 1xbet best casino website is: One of basic problems in 4-dimensional topology is to find exotic (i.e. homeomorphic but non-diffeomorphic) smooth structures on a given 4-manifold. It is known that every exotic smooth structure on any simply connected closed smooth 4-manifold is obtained by twisting a codimension zero contractible submanifold. Such contractible 4-manifolds are called corks, and they are useful object to study 4-manifolds. In this talk, I will explain various examples of cork structures on 4-manifolds and applications of corks to constructions of exotic 4-manifolds.