A trivial tail homology for non-A–adequate links

Lee, Christine Ruey Shan

doi:10.2140/agt.2018.18.1481

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

Christine Ruey Shan Lee

Algebraic & Geometric Topology 18 (2018) 1481–1513

DOI: 10.2140/agt.2018.18.1481

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.

Keywords

categorification, colored Khovanov homology, Jones polynomial

Mathematical Subject Classification 2010

Primary: 57M25, 57M27

References

Publication

Received: 6 January 2017

Revised: 20 September 2017

Accepted: 27 September 2017

Published: 3 April 2018

Authors

Christine Ruey Shan Lee
Department of Mathematics University of Texas Austin, TX United States

Volume 18, issue 3 (2018)