Dehn surgery on knots—tracing the evolution of research

Motegi, Kimihiko

doi:10.1090/suga/473

Dehn surgery on knots—tracing the evolution of research
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by Kimihiko Motegi
Translated by: the author

Sugaku Expositions 36 (2023), 1-33

DOI: https://doi.org/10.1090/suga/473

Published electronically: April 20, 2023

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Abstract:

Every closed orientable $3$-manifold is obtained from the $3$-sphere $S^3$ by Dehn surgery on a link, and thus Dehn surgery is a useful way to construct $3$-manifolds. In this survey article we restrict our attention to Dehn surgery on knots in $S^3$ and take a quick look at the evolution of study on this field along developments of $3$-dimensional topology.

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