Exotic smooth structures on small 4-manifolds

2007/01/31 by Anar Akhmedov, B. Doug Park
Mathematics · #Algebra over a field #Construct (python library) #Diffeomorphism #Geometric and Algebraic Topology #Geometry and complex manifolds #Holomorphic and Operator Theory #Symplectic geometry #Symplectomorphism #math.GT #math.SG #msc:54D05 #msc:57M05 #msc:57R17

paper · pdf · doi:10.1007/s00222-008-0118-x

11 pages

arxiv created 2007/03/12 · openalex publication_date 2008/02/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Let M be either CP²#3CP²bar or 3CP²#5CP²bar. We construct the first example of a simply-connected symplectic 4-manifold that is homeomorphic but not diffeomorphic to M.

Citations

• The topology of four-dimensional manifolds
• Irrationality and the h-cobordism conjecture
• Knots, links, and 4-manifolds