3 papers
math.CT2026
Towards Koszulity for categorical structures: category of 2-nets
Slava Pimenov, Angel Toledo
Recently Batanin and Markl developed a theory of Koszul duality for operads over a general operadic category in the spirit of Ginzburg-Kapranov. However, their approach doesn't app…
math.AG2025
Tensor-Hochschild complex
Slava Pimenov, Angel Toledo
Let be a monoidal dg-category. We construct a complex controlling the deformation of the monoidal structure on together with the deformation…
math.AG2024
Relative Monoidal Bondal-Orlov
Artan Sheshmani, Angel Toledo
In this article we study a relative monoidal version of the Bondal-Orlov reconstruction theorem. We establish an uniqueness result for tensor triangulated category structures $(\bo…