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...
Main Authors: | , , |
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Format: | eBook |
Language: | English |
Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2013, 2013
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Edition: | 1st ed. 2013 |
Series: | Lecture Notes in Mathematics
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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