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Guts of surfaces and the colored Jones polynomial

Auteur : David Futer; Efstratia Kalfagianni; Jessica Purcell
Éditeur : Berlin : Springer, ©2013.
Collection : Lecture notes in mathematics (Springer-Verlag), 2069.
Édition/format :   Livre électronique : Document : EnglishVoir toutes les éditions et tous les formats
Base de données :WorldCat
Résumé :
This monograph derives direct and concrete relations between colored Jones polynomials and the topology of incompressible spanning surfaces in knot and link complements. Under mild diagrammatic hypotheses, we prove that the growth of the degree of the colored Jones polynomials is a boundary slope of an essential surface in the knot complement. We show that certain coefficients of the polynomial measure how far this  Lire la suite...
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Genre/forme : Electronic books
Type d’ouvrage : Document, Ressource Internet
Format : Internet Resource, Computer File
Tous les auteurs / collaborateurs : David Futer; Efstratia Kalfagianni; Jessica Purcell
ISBN : 3642333028 9783642333026
Numéro OCLC : 822868959
Description : 1 online resource (x, 170 pages) : illustrations (some color).
Contenu : Introduction --
Decomposition into 3-Balls --
Ideal Polyhedra --
I-Bundles and Essential Product Disks --
Guts and Fibers --
Recognizing Essential Product Disks --
Diagrams Without Non-prime Arcs --
Montesinos Links --
Applications --
Discussion and Questions.
Titre de collection : Lecture notes in mathematics (Springer-Verlag), 2069.
Responsabilité : David Futer, Efstratia Kalfagianni, Jessica Purcell.

Résumé :

The monograph derives direct and concrete relations between colored Jones polynomials and the topology of incompressible spanning surfaces in knot and link complements. This book proves that the  Lire la suite...

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From the reviews: "A relationship between the geometry of knot complements and the colored Jones polynomial is given in this monograph. The writing is well organized and comprehensive, and the book Lire la suite...

 
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