works on

From the 1 of 8 linked papers with an AI index.

activity
20242026
most citedOn the $K$-theory of pushouts

1 citations · 1 across the 3 of their papers we have counts for

collaborators

8 papers

math.KT2026

L-theory of -algebras

Markus Land, Thomas Nikolaus, Marco Schlichting

The paper derives a formula for the L-theory spectrum of real C*-algebras, relating L-groups to topological K-groups and connecting the Baum-Connes and Farrell-Jones conjectures vi…

math.KT20261 cited

On the -theory of pushouts

Markus Land, Georg Tamme

We reveal a relation between the behaviour of localizing invariants on pushouts and on pullbacks of ring spectra. More concretely, we show that the failure of sending a pus…

math.AT2026

Homology manifolds via six functor formalisms

Markus Land, Marco Volpe

We study homology manifolds through the eyes of the six functor formalism of spectral sheaves on locally compact Hausdorff spaces. As main results, we characterize cohomologically…

math.KT2026

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…

math.AT2025

Paschke duality and assembly maps

Ulrich Bunke, Alexander Engel, Markus Land

We construct a natural transformation between two versions of -equivariant -homology with coefficients in a --category for a countable discrete group . Its domai…

math.OA2025

A stable -category for equivariant -theory

Ulrich Bunke, Alexander Engel, Markus Land

For a countable group we construct a small, idempotent complete, symmetric monoidal, stable -category whose homotopy category recovers…