27 citations · 71 across the 31 of their papers we have counts for
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Monoidal adjunctions and abelian envelopes
Johannes Flake, Robert Laugwitz, Sebastian Posur
We show how monoidal adjunctions can be used to prove the existence of monoidal abelian envelopes of pseudo-tensor categories, in particular, those admitting a combinatorial descri…
Differential graded cell 2-representations
Robert Laugwitz, Vanessa Miemietz
This article develops a theory of cell combinatorics and cell 2-representations for differential graded 2-categories. We introduce two types of partial preorders, called the strong…
Pretriangulated 2-representations via dg algebra 1-morphisms
Robert Laugwitz, Vanessa Miemietz
This paper develops a theory of pretriangulated 2-representations of dg 2-categories. We characterize cyclic pretriangulated 2-representations, under certain compactness assumption…
Indecomposable objects in Khovanov-Sazdanovic's generalizations of Deligne's interpolation categories
Johannes Flake, Robert Laugwitz, Sebastian Posur
Khovanov and Sazdanovic recently introduced symmetric monoidal categories parameterized by rational functions and given by quotients of categories of two-dimensional cobordisms. Th…
The indecomposable objects in the center of Deligne's category
Johannes Flake, Nate Harman, Robert Laugwitz
We classify the indecomposable objects in the monoidal center of Deligne's interpolation category by viewing as a model-theoretic limit in rank and characteri…
On the Monoidal Center of Deligne's Category Rep(S_t)
Johannes Flake, Robert Laugwitz
We explicitly compute a monoidal subcategory of the monoidal center of Deligne's interpolation category Rep(S_t), for t not necessarily a natural number, and we show that this subc…
Cell 2-Representations and Categorification at Prime Roots of Unity
Robert Laugwitz, Vanessa Miemietz
Motivated by recent advances in the categorification of quantum groups at prime roots of unity, we develop a theory of 2-representations for 2-categories enriched with a p-differen…