Purely cosmetic surgeries and pretzel knots
نویسندگان
چکیده
We show that all pretzel knots satisfy the (purely) cosmetic surgery conjecture, i.e. Dehn surgeries with different slopes along a knot provide oriented three-manifolds.
منابع مشابه
Cyclic and Finite Surgeries on Pretzel Knots
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, CullerShalen seminorms play a central role.
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2021
ISSN: ['1945-5844', '0030-8730']
DOI: https://doi.org/10.2140/pjm.2021.313.195