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math.AT2022★ 1 cited
A K-theory spectrum for cobordism cut and paste groups
Renee S. Hoekzema, Carmen Rovi, Julia Semikina
Cobordism groups and cut-and-paste groups of manifolds arise from imposing two different relations on the monoid of manifolds under disjoint union. By imposing both relations simul…
math.AT2022
Chain duality for categories over complexes
James F. Davis, Carmen Rovi
We show that the additive category of chain complexes parametrized by a finite simplicial complex forms a category with chain duality. This fact, never fully proven in the orig…