Dave Futer’s talks at Boston College and Princeton

This week and next, Dave Futer is speaking about recent joint work with Effie Kalfagianni and Jessica Purcell.

He will speak at Boston College on December 1, and at Princeton University on December 8.

Title: The Jones polynomial and surfaces far from fibers

Abstract: This talk explores 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 also show that certain coefficients of the Jones and colored Jones polynomials measure the “guts” of the surface – a measurement of how far this surface is from being a fiber in the knot complement. This is joint work with Effie Kalfagianni and Jessica Purcell.

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