Algebraic & Geometric Topology 8 (2008) 1781–1794

DOI: 10.2140/agt.2008.8.1781

Abstract

In this article, we construct the first example of a simply-connected minimal symplectic 4–manifold that is homeomorphic but not diffeomorphic to 3CP² #7CP². We also construct the first exotic minimal symplectic CP²#5CP².

Keywords

4–manifolds, exotic smooth structures, symplectic 4–manifolds, fiber sum, Seiberg–Witten invariants

Mathematical Subject Classification

Primary: 57N13, 57N65

Secondary: 57M50

References

Publication

Received: 12 March 2007
Revised: 7 July 2008
Accepted: 5 September 2008
Published: 9 October 2008

Authors