1991/01/01 by Colin Adams, Martin Hildebrand, Jeffrey R. Weeks · 48 citations
Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Advanced Combinatorial Mathematics #Algorithm #Annotation #Type (biology) #Computer science #Semantics (computer science) #Artificial intelligence #Mathematics #Geology #Programming language #Paleontology
paper · doi:10.1090/s0002-9947-1991-0994161-2
published in Transactions of the American Mathematical Society 326(1), 1-56 (American Mathematical Society)
openalex publication_date 1991/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Tables of values for the hyperbolic volume, number of symmetries, cusp volume and conformal invariants of the cusps are given for hyperbolic knots through ten crossings and hyperbolic links of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="2 comma 3"> <mml:semantics> <mml:mrow> <mml:mn>2</mml:mn> <mml:mo>,</mml:mo> <mml:mn>3</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">2, 3</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="4"> <mml:semantics> <mml:mn>4</mml:mn> <mml:annotation encoding="application/x-tex">4</mml:annotation> </mml:semantics> </mml:math> </inline-formula> components through <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="9"> <mml:semantics> <mml:mn>9</mml:mn> <mml:annotation encoding="application/x-tex">9</mml:annotation> </mml:semantics> </mml:math> </inline-formula> crossings. The horoball patterns and the canonical triangulations are displayed for knots through eight crossings and for particularly interesting additional examples of knots and links.