Dehn Surgery on Knots in the 3-Sphere

John Luecke
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John Luecke: The University of Texas at Austin, Department of Mathematics

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 585-594 from Springer

Abstract: Abstract The Dehn surgery construction is a way of obtaining a closed 3-manifold from a knot in the 3-sphere. The construction depends on two parameters, the knot and the surgery slope, and this article discusses theorems and conjectures describing the way the topology and geometry of the 3-manifold constructed depend on these knots in arbitrary 3-manifolds and the Dehn surgery construction there. Most of the theorems discussed here apply in that context as well. [Go1] is an excellent survey at this level and I recommend it as a companion to this article. My intent here is to update some of the issues in [Go1] as well as to draw attention to some tantalizing aspects of specializing to knots in the 3-sphere.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-9078-6_52

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DOI: 10.1007/978-3-0348-9078-6_52

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