9 citations · 28 across the 6 of their papers we have counts for
9 papers
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…
On the geometric fixed-points of real topological cyclic homology
Emanuele Dotto, Kristian Moi, Irakli Patchkoria
We give a formula for the geometric fixed-points spectrum of the real topological cyclic homology of a bounded below ring spectrum, as an equaliser of two maps between tensor produ…
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…
Witt Vectors, Polynomial Maps, and Real Topological Hochschild Homology
Emanuele Dotto, Kristian Moi, Irakli Patchkoria
We show that various flavors of Witt vectors are functorial with respect to multiplicative polynomial laws of finite degree. We then deduce that the -typical Witt vectors are fu…
Real topological Hochschild homology
Emanuele Dotto, Kristian Moi, Irakli Patchkoria +1
This paper interprets Hesselholt and Madsen's real topological Hochschild homology functor THR in terms of the multiplicative norm construction. We show that THR satisfies cofinali…
Homotopy theory of G-diagrams and equivariant excision
Emanuele Dotto, Kristian Moi
Let be a finite group acting on a small category . We study functors equipped with families of compatible natural transformations that give a ki…
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…