An incompatibility between spectrification and the Szabo spectral sequence
Benjamin Cooper, Pravakar Paul, Nicholas Seguin
TL;DR
This paper investigates the incompatibility between spectrification processes and the Szabo spectral sequence in the context of Lipshitz-Sarkar Steenrod operations on Khovanov homology, highlighting obstructions to integral lifting.
Contribution
It identifies fundamental incompatibilities and obstructions in combining spectrification with Szabo's spectral sequence in Khovanov homology.
Findings
Obstructions to integral lifting are observed.
Lipshitz-Sarkar Steenrod operations are incompatible with Szabo's spectral sequence.
Fundamental incompatibility between spectrification and the spectral sequence is demonstrated.
Abstract
The Lipshitz-Sarkar Steenrod operations on (even) Khovanov homology are incompatible with Szab\'{o}'s geometric spectral sequence. Obstructions to integral lifting and spectrification are observed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsTopological and Geometric Data Analysis · Geometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology