Geometric properties and problems of thick knots /

"In geometric knot theory, a central issue is to study the various geometric properties of knots when the knots have certain thickness. This setting makes a knot more like one that is tied with a uniform physical rope. These problems are mostly motivated by the recent applications of knot theor...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Diao, Yuanan
Otros Autores: Ernst, Claus
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Nova Science Publishers, ©2009.
Colección:Mathematics research developments series.
Temas:
Knot theory.
Théorie des nœuds.
MATHEMATICS > Topology.
Knot theory
Knotentheorie
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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