Khovanov homology for links in thickened surfaces and a categorification of the skein algebra multiplication

Khovanov homology can be defined for links in thickened surfaces. After reminding us how it works in the thickened annulus (where Khovanov homology naturally carries a $\mathfrak{sl}_2$ action), Hoel Queffelec and Paul Wedrich will explain additional gradings that arise in the general case.