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Small exotic 4–manifolds

Anar Akhmedov

Algebraic & Geometric Topology 8 (2008) 1781–1794
Abstract

In this article, we construct the first example of a simply-connected minimal symplectic 4–manifold that is homeomorphic but not diffeomorphic to 32#7¯2. We also construct the first exotic minimal symplectic 2#5¯2.

Keywords
4–manifolds, exotic smooth structures, symplectic 4–manifolds, fiber sum, Seiberg–Witten invariants
Mathematical Subject Classification 2000
Primary: 57N65, 57N13
Secondary: 57M50
References
Publication
Received: 12 March 2007
Revised: 7 July 2008
Accepted: 5 September 2008
Published: 9 October 2008
Authors
Anar Akhmedov
Mathematics Department
Columbia University
New York
NY 10027
USA