David Futer, Efstratia Kalfagianni, Jessica Purcell

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


In this chapter, we will use the calculations of S3\\SA obtained in earlier chapters to relate the geometry of A-adequate links to diagrammatic quantities and to Jones polynomials. In Sect. 9.1, we combine Theorem 5.14 with results of Agol et al. [6] to obtain bounds on the volumes of hyperbolic A-adequate links. A sample result is Theorem 9.7, which gives tight diagrammatic estimates on the volumes of positive braids with at least 3 crossings per twist region. The gap between the upper and lower bounds on volume is a factor of about 4.15.

Original languageEnglish
Title of host publicationGuts of Surfaces and the Colored Jones Polynomial
PublisherSpringer-Verlag London Ltd.
Number of pages16
ISBN (Print)9783642333019
Publication statusPublished - 1 Jan 2013
Externally publishedYes

Publication series

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


  • Colored Jones Polynomial
  • Early Chapter
  • Incompressible Surface
  • Jones Polynomial
  • Ricci Flow

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