Geometric properties and problems of thick knots [electronic resource] / Yuanan Diao and Claus Ernst.

By: Diao, YuananContributor(s): Ernst, Claus | ProQuest (Firm)Material type: TextTextSeries: Mathematics research developments seriesPublication details: New York : Nova Science Publishers, c2009Description: 81 p. : illISBN: 9781613246290 (electronic bk.)Subject(s): Knot theoryGenre/Form: Electronic books.DDC classification: 514/.2242 LOC classification: QA612.2 | .D53 2009Online resources: Click to View
Contents:
Introduction -- Some basic facts of knot theory -- Thicknesses of knots -- Ropelengths of knots -- Smooth knots vs knots on the cubic lattice -- Global lower bound on ropelength of knots -- General lower bounds on ropelength of knots -- General upper bounds on ropelength of knots -- Ropelength upper bounds for special classes of knots -- The spectrum of powers realizable by thick knots -- Total curvature of thick knots -- The linking number of a thick link with two or more components -- Some open questions.
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Includes bibliographical references and index.

Introduction -- Some basic facts of knot theory -- Thicknesses of knots -- Ropelengths of knots -- Smooth knots vs knots on the cubic lattice -- Global lower bound on ropelength of knots -- General lower bounds on ropelength of knots -- General upper bounds on ropelength of knots -- Ropelength upper bounds for special classes of knots -- The spectrum of powers realizable by thick knots -- Total curvature of thick knots -- The linking number of a thick link with two or more components -- Some open questions.

Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.

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