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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Twisted fiber sums of Fintushel-Stern's knot surgery 4-manifolds


Author: Ki-Heon Yun
Journal: Trans. Amer. Math. Soc. 360 (2008), 5853-5868
MSC (2000): Primary 57N13, 57R17, 53D35
Published electronically: May 28, 2008
MathSciNet review: 2425694
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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.


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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
Email: kyun@sungshin.ac.kr

DOI: http://dx.doi.org/10.1090/S0002-9947-08-04623-0
PII: S 0002-9947(08)04623-0
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
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.