88 citations · 489 across the 34 of their papers we have counts for
7 papers · 1 filter
K-theory and polynomial functors
Clark Barwick, Saul Glasman, Akhil Mathew +1
We show that the algebraic K-theory space of stable infinity-categories is canonically functorial in polynomial functors. As a consequence, we obtain a new proof of Bökstedt's calc…
Categorifying rationalization
Clark Barwick, Saul Glasman, Marc Hoyois +2
We solve a problem proposed by Khovanov by constructing, for any set of primes , a triangulated category (in fact a stable -category) whose Grothendieck group is $S^{-1}…
Regularity of structured ring spectra and localization in K-theory
Clark Barwick, Tyler Lawson
We identify a regularity property for structured ring spectra, and with it we prove a natural analogue of Quillen's localization theorem for algebraic K-theory in this setting.
Multiplicative structures on algebraic K-theory
C. Barwick
Algebraic K-theory is the stable homotopy theory of homotopy theories, and it interacts with algebraic structures accordingly. In particular, we prove the Deligne Conjecture for al…
On the Q construction for exact quasicategories
C. Barwick
We prove that the K-theory of an exact quasicategory can be computed via a higher categorical variant of the Q construction. This construction yields a quasicategory whose weak hom…
On exact infinity-categories and the Theorem of the Heart
C. Barwick
We introduce a notion of exact quasicategory, and we prove an analogue of Amnon Neeman's Theorem of the Heart for Waldhausen K-theory.