15 citations · 95 across the 19 of their papers we have counts for
22 papers
An analogue of the Milnor conjecture for the de Rham-Witt complex in characteristic 2
Emanuele Dotto
We describe the modulo de Rham-Witt complex of a field of characteristic , in terms of the powers of the augmentation ideal of the -geometric fixed points of r…
Witt vectors with coefficients and TR
Emanuele Dotto, Achim Krause, Thomas Nikolaus +1
We give a new construction of -typical Witt vectors with coefficients in terms of ghost maps and show that this construction is isomorphic to the one defined in terms of formal…
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…