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Exotic smooth structures on $3\mathbf{CP}^2 \char93 n\overline{\mathbf{CP}}^2$, Part II

Author(s): B. Doug Park
Journal: Proc. Amer. Math. Soc. 128 (2000), 3067-3073.
MSC (2000): Primary 57R55; Secondary 57R57, 53D35
Posted: March 2, 2000
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Abstract:

We construct exotic $3\mathbf{CP}^2 \char93 11\overline{\mathbf{CP}}^2$and $3\mathbf{CP}^2 \char93 13\overline{\mathbf{CP}}^2$ 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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Additional Information:

B. Doug Park
Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08544
Email: bahnpark@math.princeton.edu

DOI: 10.1090/S0002-9939-00-05358-2
PII: S 0002-9939(00)05358-2
Received by editor(s): September 25, 1998
Received by editor(s) in revised form: November 2, 1998
Posted: March 2, 2000
Communicated by: Ronald A. Fintushel
Copyright of article: Copyright 2000, American Mathematical Society

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