27 citations · 117 across the 23 of their papers we have counts for
26 papers
The span-squares adjunction
George Raptis, Wolfgang Steimle
We show a universal property of the span -category that yields a description of functors defined on this category. For this, we view the span construction as a functor from…
The localisation theorem for the -theory of stable -categories
Fabian Hebestreit, Andrea Lachmann, Wolfgang Steimle
We provide a fairly self-contained account of the localisation and cofinality theorems for the algebraic -theory of stable -categories. It is based on a general…
Stable moduli spaces of hermitian forms
Fabian Hebestreit, Wolfgang Steimle
We prove that Grothendieck-Witt spaces of Poincaré categories are, in many cases, group completions of certain moduli spaces of hermitian forms. This, in particular, identifies Kar…
The derivative map for diffeomorphism of disks: An example
Diarmuid Crowley, Thomas Schick, Wolfgang Steimle
We prove that the derivative map , defined by taking the derivative of a diffeomorphism, can induce a nontrivial map on homotopy g…
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…