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Discussion and Questions

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2069)

Abstract

In this final chapter, we state some questions that arose from this work and speculate about future directions related to this project. In Sect. 10.1, we discuss modifications of the diagram D that preserve A-adequacy. In Sect. 10.2, we speculate about using normal surface theory in our polyhedral decomposition of M A to attack various open problems, for example the Cabling Conjecture and the determination of hyperbolic A-adequate knots.

Keywords

  • Ribbon Graph
  • Jones Polynomial
  • Link Diagram
  • Dehn Surgery
  • Colored Jones Polynomial

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Futer, D., Kalfagianni, E., Purcell, J. (2013). Discussion and Questions. In: Guts of Surfaces and the Colored Jones Polynomial. Lecture Notes in Mathematics, vol 2069. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33302-6_10

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