Outputs (2)

A calculus for flow categories (2022)
Journal Article
Lobb, A., Orson, P., & Schuetz, D. (2022). A calculus for flow categories. Advances in Mathematics, 409(Part B), Article 108665. https://doi.org/10.1016/j.aim.2022.108665

We describe a calculus of moves for modifying a framed flow category without changing the associated stable homotopy type. We use this calculus to show that if two framed flow categories give rise to the same stable homotopy type of homological width... Read More about A calculus for flow categories.

A scanning algorithm for odd Khovanov homology (2022)
Journal Article
Schuetz, D. (2022). A scanning algorithm for odd Khovanov homology. Algebraic & geometric topology, 22, 1287-1324. https://doi.org/10.2140/agt.2022.22.1287

We adapt Bar-Natan’s scanning algorithm for fast computations in (even) Khovanov homology to odd Khovanov homology. We use a mapping cone construction instead of a tensor product, which allows us to deal efficiently with the more complicated sign ass... Read More about A scanning algorithm for odd Khovanov homology.