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math.KT2024
Higher -theory of forms III: from chain complexes to derived categories
Daniel Marlowe, Marco Schlichting
We exhibit a canonical equivalence between the hermitian -theory (alias Grothendieck-Witt) spectrum of an exact form category and that of its derived Poincaré -category,…
math.KT2024
Higher K-theory of forms II. From exact categories to chain complexes
Marco Schlichting
We prove basic statements about the Hermitian K-theory of exact form categories with weak equivalences. Notably, we extend a quadratic functor with values in abelian groups from an…