Exotic smooth structures on 3𝐂𝐏²#𝐧\overline{𝐂𝐏}², Part II

Park, B.

doi:10.1090/S0002-9939-00-05358-2

Exotic smooth structures on $3\mathbf {CP}^2 \# n\overline {\mathbf {CP}}^2$, Part II
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Proc. Amer. Math. Soc. 128 (2000), 3067-3073 Request permission

Abstract:

We construct exotic $3\mathbf {CP}^2 \# 11\overline {\mathbf {CP}}^2$ and $3\mathbf {CP}^2 \# 13\overline {\mathbf {CP}}^2$ using the surgery techniques of R. Fintushel and R.J. Stern. We show that these 4-manifolds are irreducible by computing their Seiberg-Witten invariants.

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