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Guts of Surfaces and the Colored Jones Polynomial

Bag om Guts of Surfaces and the Colored Jones Polynomial

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.

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9783642333019
  • Indbinding:
  • Paperback
  • Sideantal:
  • 170
  • Udgivet:
  • 18. december 2012
  • Udgave:
  • 2013
  • Størrelse:
  • 235x154x11 mm.
  • Vægt:
  • 290 g.
  • 2-4 uger.
  • 15. maj 2025

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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.

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