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arxiv: math/0102050 · v2 · submitted 2001-02-06 · 🧮 math.GT

Cyclic and finite surgeries on pretzel knots

classification 🧮 math.GT
keywords cyclicfinitesurgeriesfundamentalgroupknotspretzelanalyze
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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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