Ideal Polyhedra

David Futer, Efstratia Kalfagianni, Jessica Purcell

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


Recall that MA = S3\\SA is S 3 cut along the surface SA. In the last chapter, starting with a link diagram D(K), we obtained a prime decomposition of MA into 3-balls. One of our goals in this chapter is to show that, if D(K) is A-adequate (see Definition 1.1 on p. 4), each of these balls is a checkerboard colored ideal polyhedron with 4-valent vertices.

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


  • Directed Edge
  • Directed Spine
  • Link Diagram
  • Prime Decomposition
  • State Circle

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