Stabilization of the Khovanov Homotopy Type of Torus Links

الأصل · EN

The structure of the Khovanov homology of (n,m) torus links has been extensively studied. In particular, Marko Stosic proved that the homology groups stabilize as m→∞. We show that the Khovanov homotopy types of (n,m) torus links, as constructed by Robert Lipshitz and Sucharit Sarkar, also become stably homotopy equivalent as m→∞. We provide an explicit bound on values of m beyond which the stabilization begins. As an application, we give new examples of torus links with non-trivial Sq² action.