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Surgery on tori in the 4–sphere

Published online by Cambridge University Press:  27 September 2016

KYLE LARSON
KYLE LARSON*
Affiliation:
Michigan State University e-mail: [email protected]
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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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