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math.GTJan 17, 2002
32
citations (OpenAlex)
authors
  • Selman Akbulut
arXiv abstractPDF
paper

Variations on Fintushel-Stern Knot Surgery on 4-manifolds

arXiv:math/0201156

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.

12 pages, 18 figures

References in corpus (1)

  • A fake cusp and a fishtail

Cited by in corpus (15)

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  • Cappell-Shaneson's 4-dimensional s-cobordism
  • A plug with infinite order and some exotic 4-manifolds
  • Twisting 4-manifolds along RP^2
  • An infinite family of exotic Dolgachev surfaces without 1- and 3- handles
  • Finite group actions and G-monopole classes on smooth 4-manifolds
  • Families of Simply Connected 4-Manifolds with the Same Seiberg-Witten Invariants
  • Double knot surgeries to S^4 and S^2 x S^2
  • On dissolving knot surgery 4-manifolds under a CP2-connected sum
  • Lefschetz fibration structures on knot surgery 4-manifolds
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