2017/06/27 by Mounir Benheddi, Benheddi, Mounir · 2 citations
Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Advanced Combinatorial Mathematics
paper · pdf · doi:10.48550/arxiv.1706.08919
The family of negative torus links Tp,q over a fixed number of strands p admits a stable limit in reduced Khovanov homology as q grows to infinity. In this paper, we endow this stable space with a bi-graded commutative algebra structure. We describe these algebras explicitly for p=2,3,4. As an application, we compute the homology of two families of links, and produce a lower bound for the width of the homology of any 4-stranded torus link.