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Guts of surfaces and the colored Jones polynomial

Author: David Futer; Efstratia Kalfagianni; Jessica Purcell
Publisher: Heidelberg ; New York : Springer, ©2013.
Series: Lecture notes in mathematics (Springer-Verlag), 2069.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

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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Additional Physical Format: Online version:
Futer, David.
Guts of surfaces and the colored Jones polynomial.
Berlin : Springer, ©2013
(OCoLC)822868959
Document Type: Book
All Authors / Contributors: David Futer; Efstratia Kalfagianni; Jessica Purcell
ISBN: 9783642333019 364233301X
OCLC Number: 806021111
Description: x, 170 pages : illustrations (some color) ; 23 cm.
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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 2069.
Responsibility: David Futer, Efstratia Kalfagianni, Jessica Purcell.
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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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