Guts of Surfaces and the Colored Jones Polynomial

David Futer, Efstratia Kalfagianni, Jessica Purcell

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 2012

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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.

ISBN-13
9783642333019
ISBN-10
364233301X
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Year
2012
Publication date
2012-12-18
Pages
170
Dimensions
154x235x11
Weight
290