We study some closed connected orientable 3–manifolds obtained by Dehn surgery along the oriented components of the 3-chain link. For such manifolds, we describe exceptional surgeries related to some results from Audoux et al. (2018) and Martelli and Petronio (2006). Then we construct a related family of hyperbolic knots in the 3-sphere, which admit two consecutive Seifert fibered surgeries and two toroidal fillings at distance 3. Such additional examples are not mentioned in the quoted papers.
Exceptional surgeries on hyperbolic knots arising from the 3-chain link / Cavicchioli, Alberto; Spaggiari, Fulvia. - In: EXAMPLES AND COUNTEREXAMPLES. - ISSN 2666-657X. - 7:(2025), pp. 1-3. [10.1016/j.exco.2025.100182]
Exceptional surgeries on hyperbolic knots arising from the 3-chain link
Alberto Cavicchioli
;Fulvia Spaggiari
2025
Abstract
We study some closed connected orientable 3–manifolds obtained by Dehn surgery along the oriented components of the 3-chain link. For such manifolds, we describe exceptional surgeries related to some results from Audoux et al. (2018) and Martelli and Petronio (2006). Then we construct a related family of hyperbolic knots in the 3-sphere, which admit two consecutive Seifert fibered surgeries and two toroidal fillings at distance 3. Such additional examples are not mentioned in the quoted papers.| File | Dimensione | Formato | |
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