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math.AT2024
Manifold Diagrams for Higher Categories
Lukas Heidemann
We develop a graphical calculus of manifold diagrams which generalises string and surface diagrams to arbitrary dimensions. Manifold diagrams are pasting diagrams for …
math.AT2020
Frames in Pretriangulated Dg-Categories
Lukas Heidemann
Triangulated categories arising in algebra can often be described as the homotopy category of a pretriangulated dg-category, a category enriched in chain complexes with a natural n…