2015/11/09 by Michael Willis, Willis, Michael
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #math.GT
paper · pdf · doi:10.48550/arxiv.1511.02742
17 pages, 6 figures
arxiv created 2015/11/09 · arxiv updated 2015/11/10
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.