Outputs (2)

An sl(n) stable homotopy type for matched diagrams (2019)
Journal Article
Jones, D., Lobb, A., & Schuetz, D. (2019). An sl(n) stable homotopy type for matched diagrams. Advances in Mathematics, 356, Article 106816. https://doi.org/10.1016/j.aim.2019.106816

There exists a simplified Bar-Natan Khovanov complex for open 2-braids. The Khovanov cohomology of a knot diagram made by gluing tangles of this type is therefore often amenable to calculation. We lift this idea to the level of the Lipshitz-Sarkar sta... Read More about An sl(n) stable homotopy type for matched diagrams.

Khovanov homotopy calculations using flow category calculus (2019)
Journal Article
Lobb, A., Orson, P., & Schuetz, D. (2020). Khovanov homotopy calculations using flow category calculus. Experimental Mathematics, 29(4), 475-500. https://doi.org/10.1080/10586458.2018.1482805

The Lipshitz–Sarkar stable homotopy link invariant defines Steenrod squares on the Khovanov cohomology of a link. Lipshitz–Sarkar constructed an algorithm for computing the first two Steenrod squares. We develop a new algorithm which implements the f... Read More about Khovanov homotopy calculations using flow category calculus.