Markus Land

activity

20132026

most citedOn the K-theory of pullbacks

38 citations · 125 across the 18 of their papers we have counts for

collaborators

Showing 2020 · math.KTShow all

3 papers · 2 filters

math.KT2020

Hermitian K-theory for stable $\infty$ -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 $R$ to the homotopy $C_{2}$ -orbits of its K-theory and Ranicki's original (non-period…

math.KT2020★ 7 cited

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

Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz +6

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

math.KT2020★ 7 cited

Purity in chromatically localized algebraic $K$ -theory

Markus Land, Akhil Mathew, Lennart Meier +1

We prove a purity property in telescopically localized algebraic $K$ -theory of ring spectra: For $n \geq 1$ , the $T (n)$ -localization of $K (R)$ only depends on the $T(0)\oplus \dots…

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

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

Purity in chromatically localized algebraic K-theory

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

Purity in chromatically localized algebraic $K$ -theory