Exceptional surgeries in 3-manifolds-Reference-Cited by-同舟云学术

Exceptional surgeries in 3-manifolds

Published:2022-08-23 Issue:33 Volume:9 Page:351-357
ISSN:2330-1511
Container-title:Proceedings of the American Mathematical Society, Series B
language:en
Short-container-title:Proc. Amer. Math. Soc. Ser. B

Author:

Baker Kenneth,Hoffman Neil

Abstract

Myers shows that every compact, connected, orientable 3 3 -manifold with no 2 2 -sphere boundary components contains a hyperbolic knot. We use work of Ikeda with an observation of Adams-Reid to show that every 3 3 -manifold subject to the above conditions contains a hyperbolic knot which admits a non-trivial non-hyperbolic surgery, a toroidal surgery in particular. We conclude with a question and a conjecture about reducible surgeries.

Funder

Simons Foundation

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Discrete Mathematics and Combinatorics,Analysis,Algebra and Number Theory

Link

https://www.ams.org/bproc/2022-09-33/S2330-1511-2022-00105-6/S2330-1511-2022-00105-6.pdf

Reference13 articles.

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2. Bounds on exceptional Dehn filling;Agol, Ian;Geom. Topol.,2000

3. Quasi-Fuchsian surfaces in hyperbolic knot complements;Adams, Colin C.;J. Austral. Math. Soc. Ser. A,1993

4. [BH21] Kenneth L Baker and Neil R Hoffman, Ancillary files for: Exceptional surgeries in 3-manifolds. Preprint, arXiv:2101.12259, 2021.

5. [BHL19] Kenneth L Baker, Neil R Hoffman, and Joan E Licata, Jointly primitive knots and surgeries between lens spaces. Preprint, arXiv:1904.03268, 2019. To appear in Comm. Anal. and Geo.

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1. Exceptional surgeries in 3-manifolds;Proceedings of the American Mathematical Society, Series B;2022-08-23