5/3/2007

B. Doug Park
University of Waterloo

Exotic smooth structures on small 4-manifolds

Over the last decade, there has been steady progress in the construction of exotic smooth structures on closed oriented simply-connected 4-manifolds with small Euler characteristics. In this talk, I will survey some recent results. In particular, I will show how one can obtain infinitely many exotic smooth structures on (2n-1)CP2 # (2n+1)(-CP2) for any positive integer n.