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

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
A colored Khovanov spectrum and its tail for $\mathit{B}$–adequate links

### Michael Willis

Algebraic & Geometric Topology 18 (2018) 1411–1459
##### Abstract

We define a Khovanov spectrum for ${\mathfrak{s}\mathfrak{l}}_{2}\left(ℂ\right)$–colored links and quantum spin networks and derive some of its basic properties. In the case of $n$–colored $\mathit{B}$–adequate links, we show a stabilization of the spectra as the coloring $n\to \infty$, generalizing the tail behavior of the colored Jones polynomial. Finally, we also provide an alternative, simpler stabilization in the case of the colored unknot.

##### Keywords
Khovanov spectrum, Khovanov stable homotopy type, colored Khovanov homology
##### Mathematical Subject Classification 2010
Primary: 57M27, 57M25