Topology Atlas | Conferences

Knots in Washington XXXV
December 7-9, 2012
George Washington University
Washington, DC, USA

Organizers
Mieczyslaw K. Dabkowski (UT Dallas), Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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The geometry of state surfaces and the colored Jones polynomials
by
Effie Kalfagianni
Michigan State University
Coauthors: David Futer (Temple University) Jessica S. Purcell (Brigham Young University)

Under a diagrammatic hypothesis the boundary slope of certain incompressible surfaces in a knot complement is determined by the growth of the degree of the colored Jones polynomial of the knot. For hyperbolic knots, we show that the geometric type of these surfaces in the Thurston trichotomy is also determined by a coefficient of the colored Jones polynomial of the knot.

Date received: November 18, 2012

Copyright © 2012 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbfw-28.