Guts of Surfaces and the Colored Jones Polynomial

• Κύριοι συγγραφείς: Futer, David (Συγγραφέας), Kalfagianni, Efstratia (Συγγραφέας), Purcell, Jessica (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Σειρά: Lecture Notes in Mathematics, 2069
• Θέματα: Mathematics.; Hyperbolic geometry.; Manifolds (Mathematics).; Complex manifolds.; Manifolds and Cell Complexes (incl. Diff.Topology).; Hyperbolic Geometry.

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...

Πίνακας περιεχομένων:

• 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.