Surfaces in 4-manifolds that remain exotic after many stabilizations.

David Auckly, Kansas State University
Fine Hall 314

It is known that the topological and smooth categories are very different in four dimensions. Many smoothly distinct but topologically equivalent objects are known to become equivalent after some number of stabilizations. Less is known about the number of stabilizations required before different objects become equivalent. This talk will explain why many exotic pairs of surfaces remain distinct after many stabilizations.