Punctured Torus Groups and 2-Bridge Knot Groups (I)
Publication year: 2007
ISBN: 978-3-540-71807-9
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This monograph is Part 1 of a book project intended to give a full account of Jorgensen's theory of punctured torus Kleinian groups and its generalization, with application to knot theoryIn this monograph, we give an elementary and self-contained description of Jorgensen's theory with a complete proof. Through various informative illustrations, readers are naturally led to an intuitive, synthetic grasp of the theory, which clarifies how a very simple fuchsian group evolves into complicated Kleinian groups.
Subject: Mathematics and Statistics, 2-bridge know, Ford domain, Knot theory, Natural, Punctured torus, algebra, boundary element method, diagrams, evolution, form, group, history of mathematics, quasifuchsian group, story, unknotting tunnel
