After reviewing methods for constructing exotic smooth structures on closed four-manifolds, we examine the ‘genus-function’ on the second homology, and ask/answer some questions related to this function. We extend the notion to manifolds with boundary, where the surfaces are bounded by knots or links in the boundary. We examine the relevance of these notions for the Smooth Four-dimensional Poincare Conjecture.
De Mélanie Bertelson
De Jean-Paul Mohsen
De Mohammed Abouzaid
De Ailsa Keating
De Daniel Alvarez-Gavela
De Kyler Siegel
De András Stipsicz
De Ko Honda
De Yu Pan
De Oleg Lazarev
De Paul Biran
De Nicholas Ramsey
