Twisted fiber sums of Fintushel-Stern’s knot surgery 4-manifolds
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Abstract:
In the article, we study Fintushel-Stern’s knot surgery four-manifold $E(n)_K$ and its monodromy factorization. For fibered knots we provide a smooth classification of knot surgery 4-manifolds up to twisted fiber sums. We then show that other constructions of $4$-manifolds with the same Seiberg-Witten invariants are in fact diffeomorphic.References
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Additional Information
- Ki-Heon Yun
- Affiliation: Department of Mathematics, Sungshin Women’s University, 249-1 Dongseon-dong 3-ga, Seongbuk-gu, Seoul 136-742, Korea
- MR Author ID: 788980
- Email: kyun@sungshin.ac.kr
- Received by editor(s): October 2, 2006
- Published electronically: May 28, 2008
- Additional Notes: This work was supported by Grant No. R14-2002-007-01002-0 from KOSEF
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 360 (2008), 5853-5868
- MSC (2000): Primary 57N13, 57R17, 53D35
- DOI: https://doi.org/10.1090/S0002-9947-08-04623-0
- MathSciNet review: 2425694