Decomposition into 3-Balls

David Futer; Efstratia Kalfagianni; Jessica Purcell

doi:10.1007/978-3-642-33302-6_2

Decomposition into 3-Balls

David Futer, Efstratia Kalfagianni, Jessica Purcell

Research output: Chapter in Book/Report/Conference proceeding › Chapter (Book) › Research › peer-review

Abstract

In this chapter, we start with a connected link diagram and explain how to construct state graphs and state surfaces. We cut the link complement in S ³ along the state surface, and then describe how to decompose the result into a collection of topological balls whose boundaries have a checkerboard coloring.

Original language	English
Title of host publication	Guts of Surfaces and the Colored Jones Polynomial
Publisher	Springer-Verlag London Ltd.
Pages	17-33
Number of pages	17
ISBN (Print)	9783642333019
DOIs	https://doi.org/10.1007/978-3-642-33302-6_2
Publication status	Published - 1 Jan 2013
Externally published	Yes

Publication series

Name	Lecture Notes in Mathematics
Volume	2069
ISSN (Print)	0075-8434
ISSN (Electronic)	1617-9692

Keywords

Combinatorial Description
Ideal Edge
Projection Plane
Regular Neighborhood
State Circle

Access to Document

10.1007/978-3-642-33302-6_2

Cite this

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KW - Projection Plane

KW - Regular Neighborhood

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Decomposition into 3-Balls

Abstract

Publication series

Keywords

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