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


Author: B. Doug Park
Journal: Proc. Amer. Math. Soc. 128 (2000), 3067-3073
MSC (2000): Primary 57R55; Secondary 57R57, 53D35
DOI: https://doi.org/10.1090/S0002-9939-00-05358-2
Published electronically: March 2, 2000
MathSciNet review: 1664422
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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: https://doi.org/10.1090/S0002-9939-00-05358-2
Received by editor(s): September 25, 1998
Received by editor(s) in revised form: November 2, 1998
Published electronically: March 2, 2000
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 2000 American Mathematical Society