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Guts of surfaces and the colored Jones polynomial Titelvorschau
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Guts of surfaces and the colored Jones polynomial

Autor: David Futer; Efstratia Kalfagianni; Jessica Purcell
Verlag: Berlin : Springer, ©2013.
Serien: Lecture notes in mathematics (Springer-Verlag), 2069.
Ausgabe/Medienart   E-Book : Dokument : EnglischAlle Ausgaben und Medienarten anzeigen
Zusammenfassung:
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  Weiterlesen…
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Gattung/Form: Electronic books
Physisches Format Printed edition:
Medienart: Dokument, Internetquelle
Dokumenttyp Internet-Ressource, Computerdatei
Alle Autoren: David Futer; Efstratia Kalfagianni; Jessica Purcell
ISBN: 3642333028 9783642333026
OCLC-Nummer: 822868959
Beschreibung: 1 online resource (x, 170 pages) : illustrations (some color).
Inhalt: 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.
Serientitel: Lecture notes in mathematics (Springer-Verlag), 2069.
Verfasserangabe: David Futer, Efstratia Kalfagianni, Jessica Purcell.

Abstract:

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  Weiterlesen…

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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 Weiterlesen…

 
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