38 citations · 125 across the 18 of their papers we have counts for
7 papers · 1 filter
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…
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…
On the homotopy type of L-spectra of the integers
Fabian Hebestreit, Markus Land, Thomas Nikolaus
We show that quadratic and symmetric L-theory of the integers are related by Anderson duality and show that both spectra split integrally into the L-theory of the real numbers and…
Reducibility of low dimensional Poincaré duality spaces
Markus Land
We discuss Poincaré duality complexes X and the question whether or not their Spivak normal fibration admits a reduction to a vector bundle in the case where the dimension of X is…
A vanishing theorem for tautological classes of aspherical manifolds
Fabian Hebestreit, Markus Land, Wolfgang Lück +1
Tautological classes, or generalised Miller-Morita-Mumford classes, are basic characteristic classes of smooth fibre bundles, and have recently been used to describe the rational c…
Localization of Cofibration Categories and Groupoid -algebras
Markus Land, Thomas Nikolaus, Karol Szumiło
We prove that relative functors out of a cofibration category are essentially the same as relative functors which are only defined on the subcategory of cofibrations. As an applica…
On the Relation between K- and L-Theory of -Algebras
Markus Land, Thomas Nikolaus
We prove the existence of a map of spectra between connective topological K-theory and connective algebraic L-theory of a complex -algebra A which is na…