Geodesic
A colored Khovanov spectrum and its tail for B–adequate links
Willis, Michael1
1 Department of Mathematics, University of Virginia, Charlottesville, VA, United States
Algebraic and Geometric Topology, Tome 18 (2018) no. 3, pp. 1411-1459

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We define a Khovanov spectrum for 𝔰𝔩2(ℂ)–colored links and quantum spin networks and derive some of its basic properties. In the case of n–colored B–adequate links, we show a stabilization of the spectra as the coloring n →∞, generalizing the tail behavior of the colored Jones polynomial. Finally, we also provide an alternative, simpler stabilization in the case of the colored unknot.

DOI : 10.2140/agt.2018.18.1411
Classification : 57M27, 57M25
Keywords: Khovanov spectrum, Khovanov stable homotopy type, colored Khovanov homology

Willis, Michael 1

1 Department of Mathematics, University of Virginia, Charlottesville, VA, United States 
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Willis, Michael. A colored Khovanov spectrum and its tail for B–adequate links. Algebraic and Geometric Topology, Tome 18 (2018) no. 3, pp. 1411-1459. doi: 10.2140/agt.2018.18.1411

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