Arithmetic of the canonical component of the knot \(7_4\)

zbMath1490.57023arXiv2006.15251MaRDI QIDQ2075863

Nicholas Rouse

Publication date: 16 February 2022

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

Full work available at URL: https://arxiv.org/abs/2006.15251

zbMATH Keywords

elliptic curvesDehn surgeryAzumaya algebrascharacter varietieshyperbolic knots

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Knot theory (57K10) Hyperbolic 3-manifolds (57K32)

Uses Software

• Magma

Cites Work

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• Cyclotomic integers, fusion categories, and subfactors
• Varieties of group representations and splittings of 3-manifolds
• Incompressible surfaces in 2-bridge knot complements
• On the boundary curves of incompressible surfaces
• Fibration method and Manin obstruction
• The Magma algebra system. I: The user language
• Detecting essential surfaces as intersections in the character variety
• Rational Points on Varieties
• The Arithmetic of Elliptic Curves
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• A table of boundary slopes of Montesinos knots

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