Khovanov skein homology for links in the thickened torus

Khovanov homology is a powerful combinatorial invariant for links in the 3-sphere. Asaeda, Przytycki and Sikora defined a generalization of Khovanov homology for links in thickened compact surfaces. In this talk, we will review their definition and show that the Asaeda-Przytycki-Sikora homology detects the unlink and torus links in the thickened torus. This is joint work with Boyu Zhang.