Arithmeticity and hidden symmetries of fully augmented pretzel link complements
JS Meyer, C Millichap, R Trapp - arXiv preprint arXiv:1811.00679, 2018 - arxiv.org
This paper examines number theoretic and topological properties of fully augmented pretzel
link complements. In particular, we determine exactly when these link complements are …
link complements. In particular, we determine exactly when these link complements are …
Octahedral developing of knot complement I: Pseudo-hyperbolic structure
H Kim, S Kim, S Yoon - Geometriae Dedicata, 2018 - Springer
It is known that a knot complement can be decomposed into ideal octahedra along a knot
diagram. A solution to the gluing equations applied to this decomposition gives a pseudo …
diagram. A solution to the gluing equations applied to this decomposition gives a pseudo …
Parabolic representations and generalized Riley polynomials
Y Cho, H Kim, S Kim, S Yoon - arXiv preprint arXiv:2204.00319, 2022 - arxiv.org
We generalize R. Riley's study about parabolic representations of two bridge knot groups to
the general knots in $ S^ 3$. We utilize the parabolic quandle method for general knot …
the general knots in $ S^ 3$. We utilize the parabolic quandle method for general knot …
[图书][B] Intercusp Geodesics and cusp shapes of fully augmented links
R Flint - 2017 - search.proquest.com
We study the geometry of fully augmented link complements in the 3-sphere by looking at
their link diagrams. We extend the method introduced by Thistlethwaite and Tsvietkova to …
their link diagrams. We extend the method introduced by Thistlethwaite and Tsvietkova to …
Exact volume of hyperbolic 2--bridge links
A Tsvietkova - arXiv preprint arXiv:1211.5089, 2012 - arxiv.org
W. Thurston suggested a method for computing hyperbolic volume of hyperbolic 3-
manifolds, based on a triangulation of the manifold. The method was implemented by J …
manifolds, based on a triangulation of the manifold. The method was implemented by J …
[PDF][PDF] READ ME FOR HYPERBOLIC LINK STRUCTURES PACKAGE
D KOENIG, A LOWEN, A TSVIETKOVA - 2024 - sites.rutgers.edu
The purpose of this package is to compute the complete hyperbolic structure of a link
complement in 3-sphere using a link diagram instead of a triangulation of the complement …
complement in 3-sphere using a link diagram instead of a triangulation of the complement …
Octahedral developing of knot complement II: Ptolemy coordinates and applications
H Kim, S Kim, S Yoon - arXiv preprint arXiv:1904.06622, 2019 - arxiv.org
It is known that a knot complement (minus two points) decomposes into ideal octahedra with
respect to a given knot diagram. In this paper, we study the Ptolemy variety for such an …
respect to a given knot diagram. In this paper, we study the Ptolemy variety for such an …