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.
Original language | English |
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Pages (from-to) | 891-902 |
Number of pages | 12 |
Journal | Journal of Knot Theory and its Ramifications |
Volume | 11 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2002 Sept |
Externally published | Yes |
Keywords
- Character variety
- Culler-Shalen seminorms
- Dehn surgery
- Exceptional surgery
- Pretzel knot
ASJC Scopus subject areas
- Algebra and Number Theory