Exotic smooth structures on $3\mathbf {CP}^2 \# n\overline {\mathbf {CP}}^2$, Part II
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- by B. Doug Park
- Proc. Amer. Math. Soc. 128 (2000), 3067-3073
- DOI: https://doi.org/10.1090/S0002-9939-00-05358-2
- Published electronically: March 2, 2000
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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.References
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Bibliographic Information
- B. Doug Park
- Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08544
- Email: bahnpark@math.princeton.edu
- 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
- © Copyright 2000 American Mathematical Society
- 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
- MathSciNet review: 1664422