A trivial tail homology for non $A$-adequate links

Abstract

We prove a conjecture of Rozansky's concerning his categorification of the tail of the colored Jones polynomial for an $A$-adequate link. We show that the tail homology groups he constructs are trivial for non $A$-adequate links.

Significantly rewritten to focus on the proof of a conjecture of Rozansky's concerning his tail homology. Table of contents added

References in corpus (1)

• Rogers-Ramanujan type identities and the head and tail of the colored Jones polynomial

Cited by in corpus (3)

• Colored Jones polynomials without tails
• Foundations of the Colored Jones Polynomial of singular knots
• Twist Regions and Coefficients Stability of the Colored Jones Polynomial