The number of closed essential surfaces in Montesinos knots with four rational tangles

arXiv2204.01789MaRDI QIDQ6120510

Brannon Basilio

Publication date: 21 February 2024

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.01789

zbMATH Keywords

Montesinos knotessential surfaces

Mathematics Subject Classification ID

Knot theory (57K10) Hyperbolic 3-manifolds (57K32)

Cites Work

• Counting essential surfaces in a closed hyperbolic three-manifold
• An algorithm to decide if a 3-manifold is a Haken manifold
• Incompressible surfaces in 2-bridge knot complements
• Involutions of Seifert fiber spaces
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• Isotopy classes of incompressible surfaces in irreducible 3-manifolds
• The many aspects of counting lattice points in polytopes
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• The computational complexity of knot genus and spanning area
• Incompressible Surfaces in Knot Spaces

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