From the 1 of 5 linked papers with an AI index.
5 papers
L-theory of -algebras
Markus Land, Thomas Nikolaus, Marco Schlichting
The paper derives a formula for the L-theory spectrum of real C*-algebras, relating L-groups to topological K-groups and connecting the Baum-Connes and Farrell-Jones conjectures vi…
On the Homological Stability of Orthogonal and Spin Groups
Marco Schlichting, Sunny Sood
We improve homological stability ranges for the orthogonal group, special orthogonal group, elementary orthogonal group and the spin group over a commutative local ring with in…
Symmetric versus genuine symmetric forms in Hermitian K-theory
Marco Schlichting
We show that for finite dimensional regular Noetherian rings that contain a field or are smooth over a Dedekind domain, the comparison map from the Hermitian K-theory of genuine sy…
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…
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…