Exotic smooth structures on

Author:
B. Doug Park

Journal:
Proc. Amer. Math. Soc. **128** (2000), 3057-3065

MSC (2000):
Primary 57R55; Secondary 57R57, 53D05.

DOI:
https://doi.org/10.1090/S0002-9939-00-05357-0

Published electronically:
March 2, 2000

Erratum:
Proc. Amer. Math. Soc. 136 (2008), 1503-1503.

MathSciNet review:
1664426

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Abstract: We construct exotic and as a corollary of recent results of I. Dolgachev and C. Werner concerning a numerical Godeaux surface. We also construct another exotic 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/S0002-9939-00-05357-0

Received by editor(s):
August 4, 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