Emanuele Dotto

collaborators

3 papers

math.KT2026

Hermitian K-theory for stable $\infty$ -categories III: Grothendieck-Witt groups of rings

Baptiste CalmÃ¨s, Emanuele Dotto, Yonatan Harpaz +6

We establish a fibre sequence relating the classical Grothendieck-Witt theory of a ring $R$ to the homotopy $C_{2}$ -orbits of its K-theory and Ranicki's original (non-period…

math.KT2025

Hermitian K-theory for stable $\infty$ -categories II: Cobordism categories and additivity

Baptiste CalmÃ¨s, Emanuele Dotto, Yonatan Harpaz +6

We define Grothendieck-Witt spectra in the setting of PoincarÃ© $\infty$ -categories and show that they fit into an extension with a K- and an L-theoretic part. As consequences we d…

math.AT2025

An analogue of the Milnor conjecture for the de Rham-Witt complex in characteristic 2

Emanuele Dotto

We describe the modulo $2$ de Rham-Witt complex of a field of characteristic $2$ , in terms of the powers of the augmentation ideal of the $Z /2$ -geometric fixed points of r…

Hermitian K-theory for stable ∞-categories III: Grothendieck-Witt groups of rings

Hermitian K-theory for stable ∞-categories II: Cobordism categories and additivity

An analogue of the Milnor conjecture for the de Rham-Witt complex in characteristic 2

Hermitian K-theory for stable $\infty$ -categories III: Grothendieck-Witt groups of rings

Hermitian K-theory for stable $\infty$ -categories II: Cobordism categories and additivity