#### Volume 18, issue 3 (2018)

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

### Christine Ruey Shan Lee

Algebraic & Geometric Topology 18 (2018) 1481–1513
##### 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-$\phantom{\rule{0.3em}{0ex}}A$–adequate links.

##### Keywords
categorification, colored Khovanov homology, Jones polynomial
##### Mathematical Subject Classification 2010
Primary: 57M25, 57M27