arXiv
Open Access
2023
Special alternating knots with sufficiently many twist regions have no chirally cosmetic surgeries
Tetsuya Ito
Abstrak
We show that a special alternating knot with sufficiently large number (more than $63$) of twist regions has no chirally cosmetic surgeries, a pair of Dehn surgeries producing orientation-reversingly homeomorphic $3$-manifolds. In the course of proof, we provide the optimal upper bounds of the primitive finite type invariants of degree 2 and 3 that solve Willerton's conjecture.
Topik & Kata Kunci
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Tetsuya Ito
Akses Cepat
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- 2023
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