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Surgery on tori in the 4–sphere
Published online by Cambridge University Press: 27 September 2016
Abstract
We investigate the operation of torus surgery on tori embedded in S4. Key questions include which 4–manifolds can be obtained in this way, and the uniqueness of such descriptions. As an application we construct embeddings of 3–manifolds into 4–manifolds by viewing Dehn surgery as a cross section of a surgery on a surface. In particular, we give new embeddings of homology spheres into S4.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 164 , Issue 1 , January 2018 , pp. 109 - 124
- Copyright
- Copyright © Cambridge Philosophical Society 2016
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