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

Type: Article

Publication Date: 2008-05-28

Citations: 6

DOI: https://doi.org/10.1090/s0002-9947-08-04623-0

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.

Locations

  • Transactions of the American Mathematical Society - View - PDF

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