15 citations · 31 across the 12 of their papers we have counts for
17 papers
An Extension of Khovanov Homology to Immersed Surface Cobordisms
Scott Carter, Benjamin Cooper, Mikhail Khovanov +1
We show that an oriented surface in containing double point singularities induces a map between the Khovanov homology groups of its boundary links in a functorial wa…
Hall algebras via 2-Segal spaces
Benjamin Cooper, Matthew B. Young
This is an introduction to Hall algebras from the perspective of -Segal spaces or decomposition spaces, as introduced by Dyckerhoff and Kapranov and Gálvez-Carrillo, Kock and To…
A braid group action on an -category for zigzag algebras
Benjamin Cooper, You Qi, Joshua Sussan
We construct differential graded enhancements of the zigzag algebras which were used by Khovanov, Seidel and Thomas to produce categorical braid group actions. These enhancements a…
An incompatibility between spectrification and the Szabo spectral sequence
Benjamin Cooper, Pravakar Paul, Nicholas Seguin
The Lipshitz-Sarkar Steenrod operations on (even) Khovanov homology are incompatible with Szabó's geometric spectral sequence. Obstructions to integral lifting and spectrification…
The Hall Algebras of Annuli
Benjamin Cooper, Peter Samuelson
We refine and prove the central conjecture of our first paper for annuli with at least two marked intervals on each boundary component by computing the derived Hall algebras of the…
Preprojective Analogue of the Cone Construction
Benjamin Cooper, Joshua Sussan
We formulate a relative, representation theoretic, notion of the algebraic cone construction. This motivates a generalization of the cone corresponding to a preprojective algebra.