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Guts of surfaces and the colored Jones polynomial

Author: David Futer; Efstratia Kalfagianni; Jessica Purcell
Publisher: Berlin : Springer, ©2013.
Series: Lecture notes in mathematics (Springer-Verlag), 2069.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: David Futer; Efstratia Kalfagianni; Jessica Purcell
ISBN: 3642333028 9783642333026
OCLC Number: 822868959
Description: 1 online resource (x, 170 p.) : ill. (some col.)
Contents: 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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 2069.
Responsibility: David Futer, Efstratia Kalfagianni, Jessica Purcell.
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Abstract:

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  Read more...

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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 Read more...

 
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