Macfarlane hyperbolic 3-manifolds

DOI10.2140/agt.2018.18.1603zbMath1395.57024arXiv1701.06712OpenAlexW3102412716WikidataQ130040526 ScholiaQ130040526MaRDI QIDQ1747137

Joseph A. Quinn

Publication date: 3 May 2018

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.06712

zbMATH Keywords

fundamental domainquaternion algebraarithmetic Kleinian groups

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) General geometric structures on low-dimensional manifolds (57M50) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

• Unnamed Item
• The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
• Arithmetic subgroups of algebraic groups
• Euclidean decompositions of noncompact hyperbolic manifolds
• Non-arithmetic groups in Lobachevsky spaces
• Arithmetic quotients of hyperbolic 3-space, cusp forms and link complements
• A characterization of arithmetic Fuchsian groups
• Algorithmic detection and description of hyperbolic structures on closed 3-manifolds with solvable word problem
• Presentations of the unit group of an order in a non-split quaternion algebra.
• Algebraic invariants, mutation, and commensurability of link complements
• Generators and relations for certain special linear groups
• Applications of a Computer Implementation of Poincare's Theorem on Fundamental Polyhedra
• A note on Trace-Fields of Kleinian Groups
• Hyperbolic Structures of Arithmetic Type on Some Link Complements
• Commensurability classes of arithmetic Kleinian groups and their Fuchsian subgroups
• ARITHMETIC KNOTS IN CLOSED 3-MANIFOLDS
• Computing arithmetic Kleinian groups

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