Volume 12, issue 2 (2008)

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A symplectic manifold homeomorphic but not diffeomorphic to $\mathbb{CP}\mskip-2mu^2 \mskip1mu\#\mskip2mu 3{\mskip2mu\overline{\mskip-2mu\mathbb{CP}\mskip-3mu}\mskip1mu}^2$

Scott Baldridge and Paul Kirk

Geometry & Topology 12 (2008) 919–940
Abstract

In this article we construct a minimal symplectic $4$–manifold and prove it is homeomorphic but not diffeomorphic to ${ℂℙ}^{2}#3{\overline{ℂℙ}}^{2}$.

Keywords
symplectic topology, Luttinger surgery, fundamental group, 4-manifold
Mathematical Subject Classification 2000
Primary: 57R17
Secondary: 57M05, 54D05