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Introductory lectures on knot theory : selected lectures presented at the Advanced School and Conference on Knot Theory and Its Applications to Physics and Biology, ICTP, Trieste, Italy, 11-29 May 2009 /

This volume consists primarily of survey papers that evolved from the lectures given in the school portion of the meeting and selected papers from the conference. Knot theory is a very special topological subject: the classification of embeddings of a circle or collection of circles into three-dimen...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores Corporativos: Abdus Salam International Centre for Theoretical Physics, Advanced School and Conference on Knot Theory and Its Applications to Physics and Biology
Otros Autores: Kauffman, Louis H., 1945-
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: Singapore ; Hackensack, NJ : World Scientific, ©2012.
Colección:K & E series on knots and everything ; v. 46.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • On the unification of quantum 3-manifold invariants / A. Beliakova and T. Le
  • A survey of quandle ideas / J. Scott Carter
  • Combinatorics of Vassiliev invariants / S. Chmutov
  • Braid order, sets, and knots / P. Dehornoy
  • Finding knot invariants from diagram colouring / R. Fenn
  • Exceptional Dehn filling / C. McA Gordon
  • Graph-links / D.P. Ilyutko and V.O. Manturov
  • Diagrammatic knot properties and invariants / S.V. Jablan and R. Sazdanovic
  • Hard unknots and collapsing tangles / L.H. Kauffman and S. Lambropoulou
  • Khovanov homology / L.H. Kauffman
  • Braid equivalences and the L-moves / S. Lambropoulou
  • Free knots and parity / V.O. Manturov
  • Physical knot theory: an introduction to the study of the influence of knotting on the spatial characteristics of polymers / K.C. Millett
  • Knots, satellites and quantum groups / H.R. Morton
  • The Trieste look at knot theory / J.H. Przytycki
  • Detection of chirality and mutations of knots and links / R. Pichai
  • Physical knot theory: the study of sizes and shapes of polymers / E.J. Rawdon
  • Derivation and interpretation of the Gauss linking number / R.L. Ricca and B. Nipoti.