80 citations · 397 across the 30 of their papers we have counts for
11 papers · 1 filter
L-theory of -algebras
Markus Land, Thomas Nikolaus, Marco Schlichting
We establish a formula for the L-theory spectrum of real -algebras from which we deduce a presentation of the L-groups in terms of the topological K-groups, extending all prev…
On the K-theory of -- announcement
Benjamin Antieau, Achim Krause, Thomas Nikolaus
We announce new methods for using prismatic cohomology to compute the K-groups of and related rings. We use computer algebra methods to compute these K-groups thro…
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…
Hermitian K-theory for stable -categories III: Grothendieck-Witt groups of rings
Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz +6
We establish a fibre sequence relating the classical Grothendieck-Witt theory of a ring to the homotopy -orbits of its K-theory and Ranicki's original (non-period…
Hermitian K-theory for stable -categories II: Cobordism categories and additivity
Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz +6
We define Grothendieck-Witt spectra in the setting of Poincaré -categories and show that they fit into an extension with a K- and an L-theoretic part. As consequences we de…
On the Beilinson fiber square
Benjamin Antieau, Akhil Mathew, Matthew Morrow +1
Using topological cyclic homology, we give a refinement of Beilinson's -adic Goodwillie isomorphism between relative continuous -theory and cyclic homology. As a result, we g…