Guts of Surfaces and the Colored Jones Polynomial - Futer, David a Kalfagianni, Efstratia a Purcell, Jessica

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.