Diagrams Without Non-prime Arcs

David Futer, Efstratia Kalfagianni, Jessica Purcell

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


In this chapter, which is independent from the remaining chapters, we will restrict ourselves to A-adequate diagrams D(K) for which the polyhedral decomposition includes no non-prime arcs or switches. In this case, one can simplify the statement of Theorem 5.14 and give an easier combinatorial estimate for the guts of MA. This is done in Theorem 7.2, whose proof takes up the bulk of the chapter.

Original languageEnglish
Title of host publicationGuts of Surfaces and the Colored Jones Polynomial
PublisherSpringer-Verlag London Ltd.
Number of pages10
ISBN (Print)9783642333019
Publication statusPublished - 1 Jan 2013
Externally publishedYes

Publication series

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


  • Cell Complex
  • Diagrammatic Statement
  • Hyperbolic Geometry
  • Sample Application
  • State Circle

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