The Arithmetic of Hyperbolic 3-Manifolds

2003/01/01 by Colin M. MacLachlan, Colin Maclachlan, Alan W. Reid · 301 citations
Computer Science · Mathematics · #Algebra over a field #Arithmetic #Computational Geometry and Mesh Generation #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Mathematics #Pure mathematics

paper · doi:10.1007/978-1-4757-6720-9

published in Graduate Texts in Mathematics (Springer New York)

crossref issued 2003/01/01 · crossref published 2003/01/01 · crossref published-print 2003/01/01 · openalex publication_date 2003/01/01 · crossref created 2013/03/26 · crossref deposited 2019/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/15 · crossref indexed 2026/08/04

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• Murphy's law in non-abelian Hodge theory
• Algebraic invariants, mutation, and commensurability of link complements
• L-space surgeries on links
• Strong limit multiplicity for arithmetic hyperbolic surfaces and 3-manifolds
• CONJUGATE GENERATORS OF KNOT AND LINK GROUPS
• Geometry of biperiodic alternating links
• On volumes of quasi-arithmetic hyperbolic lattices
• An algorithm for the principal ideal problem in indefinite quaternion algebras
• Covering Spaces of Arithmetic 3-Orbifolds
• Kleinian group [wikipedia]