Affiliation:
1. Department of Mathematics and Statistics, California State University, Chico, Chico CA 95929-0525, U.S.A.
Abstract
We classify Dehn surgeries on (p,q,r) pretzel knots resulting in a manifold M(α) 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.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Hyperbolic 3-manifolds admitting no fillable contact structures;Proceedings of the American Mathematical Society;2018-10-18
2. On the number of finite $p/q$-surgeries;Proceedings of the American Mathematical Society;2015-10-20
3. Finite knot surgeries and Heegaard Floer homology;Algebraic & Geometric Topology;2015-04-22
4. Finite surgeries on three-tangle pretzel knots;Algebraic & Geometric Topology;2009-04-20
5. Cyclic and finite surgeries on Montesinos knots;Algebraic & Geometric Topology;2009-04-20