Guts of Surfaces and the Colored Jones Polynomial

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This monograph derives direct and concrete relations between colored Jones polynomials and the topology of incompressible spanning surfaces in knot and link complements. Under mild diagrammatic hypotheses, we prove that the growth of the degree of the colored Jones polynomials is a boundary slope of an essential surface in the knot complement. We show that certain coefficients of the polynomial me...
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This monograph derives direct and concrete relations between colored Jones polynomials and the topology of incompressible spanning surfaces in knot and link complements. Under mild diagrammatic hypotheses, we prove that the growth of the degree of the colored Jones polynomials is a boundary slope of an essential surface in the knot complement. We show that certain coefficients of the polynomial me...
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  • Formats: pdf
  • ISBN: 9783642333026
  • Publication Date: 18 Dec 2012
  • Publisher: Springer Berlin Heidelberg
  • Product language: English
  • Drm Setting: DRM