6-valent vertex in the ${\mathfrak{gl}}_N$ web category and its categorification

Jernej Grlj, Mikhail Khovanov, Haihan Wu +1

We define a $2\pi /3$-rotationally invariant 6-valent vertex in the ${\mathfrak{gl}}_N$ web category. When $N=4,5$, we provide a categorification of the 6-valent vertex using $\mathf…