9 citations · 28 across the 6 of their papers we have counts for
5 papers · 1 filter
Hermitian K-theory for stable -categories IV: Karoubi-Grothendieck-Witt theory
Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz +6
In analogy with the passage from connective to non-connective algebraic K-theory, Schlichting put forward the Karoubi-Grothendieck-Witt spectrum as an approximation to Grothendieck…
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…
Hermitian K-theory for stable -categories I: Foundations
Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz +6
This paper is the first in a series in which we offer a new framework for hermitian K-theory in the realm of stable -categories. Our perspective yields solutions to a varie…
Equivariant loops on classifying spaces
Kristian Jonsson Moi
We compute the homology of the space of equivariant loops on the classifying space of a simplicial monoid with anti-involution, provided is central in the homology ri…