Decomposition into 3-Balls

David Futer, Efstratia Kalfagianni, Jessica Purcell

Research output: Chapter in Book/Report/Conference proceedingChapter (Book)Researchpeer-review


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 languageEnglish
Title of host publicationGuts of Surfaces and the Colored Jones Polynomial
PublisherSpringer-Verlag London Ltd.
Number of pages17
ISBN (Print)9783642333019
Publication statusPublished - 1 Jan 2013
Externally publishedYes

Publication series

NameLecture Notes in Mathematics
ISSN (Print)0075-8434
ISSN (Electronic)1617-9692


  • Combinatorial Description
  • Ideal Edge
  • Projection Plane
  • Regular Neighborhood
  • State Circle

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