Variations on Fintushel-Stern Knot Surgery on 4-manifolds

2002/01/17 by Selman Akbulut, Akbulut, Selman · 2 citations
Mathematics · #57R65 #58A05 #58D27 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57R65 #msc:58A05 #msc:58D27

paper · pdf · doi:10.48550/arxiv.math/0201156

12 pages, 18 figures

arxiv created 2002/01/17 · openalex publication_date 2002/01/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss some consequences Fintushel-Stern `knot surgery' operation on 4-manifolds coming from its handlebody description. We give some generalizations of this operation and give a counterexample to their conjecture.

Cited by

• Extending Fibrations of the 3-Torus and Applications to Torus Surgery in 4-Manifolds
• An infinite family of exotic Dolgachev surfaces without 1- and 3- handles

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