A Khovanov stable homotopy type for links in thickened surfaces

Khovanov homology is well known knot invariant that was enhanced in many ways. For example, M. Asaeda, J. Przytycki, and A. Sikora modified the homology construction for knots in thickened surfaces to appreciate the homotopical properties of the knot embeddings. On the other hand, for any classical knot, R. Lipschitz and S. Sarkar gave a construction of invariant topological space whose homology coincides with the Khovanov homology of the knot. In the talk we show how these two different enhancement of the Khovanov homology can be combined in one construction.