A Colored Khovanov Homotopy Type And Its Tail For B-Adequate Links

Michael Willis

doi:10.2140/agt.2018.18.1411

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arXiv · 1602.03856

A Colored Khovanov Homotopy Type And Its Tail For B-Adequate Links

Michael Willis

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Abstract

We define a Khovanov homotopy type for $sl_2(\mathbb{C})$ 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 homotopy types as the coloring $n\rightarrow\infty$, generalizing the tail behavior of the colored Jones polynomial. Finally, we also provide an alternative, simpler stabilization in the case of the colored unknot.

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Michael Willis. 2016-02-11. A Colored Khovanov Homotopy Type And Its Tail For B-Adequate Links. https://doi.org/10.2140/agt.2018.18.1411

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