Markus Land

collaborators

3 papers

math.AT2025

Towards the classification of DGAs with polynomial homology

Haldun Özgür Bayındır, Markus Land

We study the classification of $Z$ -DGAs with polynomial homology $F_{p} [x]$ with $∣ x ∣ > 0$ , motivated by computations in algebraic $K$ -theory. This class…

math.AG2025

Grothendieck-Witt theory of derived schemes

Marc Hoyois, Markus Land

We construct a non- $A^{1}$ -invariant motivic ring spectrum $KO$ over $Spec (Z)$ , whose associated cohomology theory on qcqs derived schemes is the…

math.AT2024

Formality of $E_{n}$ -algebras and cochains on spheres

Gijs Heuts, Markus Land

We study the loop and suspension functors on the category of augmented $E_{n}$ -algebras. One application is to the formality of the cochain algebra of the $n$ -sphere. We sho…

Towards the classification of DGAs with polynomial homology

Grothendieck-Witt theory of derived schemes

Formality of En​-algebras and cochains on spheres

Formality of $E_{n}$ -algebras and cochains on spheres