W. Steimle

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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

Stable moduli spaces of hermitian forms

Fabian Hebestreit, Wolfgang Steimle

We prove that Grothendieck-Witt spaces of PoincarÃ© categories are, in many cases, group completions of certain moduli spaces of hermitian forms. This, in particular, identifies Ka…

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…

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

Stable moduli spaces of hermitian forms

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

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