Abstract
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 M A . This is done in Theorem 7.2, whose proof takes up the bulk of the chapter.
Keywords
- Cell Complex
- Diagrammatic Statement
- Hyperbolic Geometry
- Sample Application
- State Circle
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Notes
- 1.
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References
Lickorish, W.B.R., Thistlethwaite, M.B.: Some links with nontrivial polynomials and their crossing-numbers. Comment. Math. Helv. 63(4), 527–539 (1988)
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Futer, D., Kalfagianni, E., Purcell, J. (2013). Diagrams Without Non-prime Arcs. 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_7
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DOI: https://doi.org/10.1007/978-3-642-33302-6_7
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