Guts of Surfaces and the Colored Jones Polynomial

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...

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Bibliographic Details
Main Authors: Futer, David, Kalfagianni, Efstratia (Author), Purcell, Jessica (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2013, 2013
Edition:1st ed. 2013
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 1 Introduction
  • 2 Decomposition into 3–balls
  • 3 Ideal Polyhedra
  • 4 I–bundles and essential product disks
  • 5 Guts and fibers
  • 6 Recognizing essential product disks
  • 7 Diagrams without non-prime arcs
  • 8 Montesinos links
  • 9 Applications
  • 10 Discussion and questions