Cyclic and finite surgeries on pretzel knots

Details Cyclic and finite surgeries on pretzel knots Cyclic and finite surgeries on pretzel knots

2001-02-06

arxiv.org/abs/math/0102050v2

Mathematics

Geometric Topology

11 pages, 1 figure, v2: minor revisions, To appear in the Proceedings of Knots 2000 (Yongpyong, Korea)

Scientific paper

We classify Dehn surgeries on (p,q,r) pretzel knots resulting in a manifold
M(s) having cyclic fundamental group and analyze those leading to a finite
fundamental group. The proof uses the theory of cyclic and finite surgeries
developed by Culler, Shalen, Boyer, and Zhang. In particular, Culler-Shalen
seminorms play a central role.

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