17 citations · 34 across the 5 of their papers we have counts for
8 papers
Equivariant Morse theory on Vietoris-Rips complexes & universal spaces for proper actions
Marco Varisco, Matthew C. B. Zaremsky
We formalize an equivariant version of Bestvina-Brady discrete Morse theory, and apply it to Vietoris-Rips complexes in order to exhibit finite universal spaces for proper actions…
Algebraic -theory, assembly maps, controlled algebra, and trace methods
Holger Reich, Marco Varisco
We give a concise introduction to the Farrell-Jones Conjecture in algebraic -theory and to some of its applications. We survey the current status of the conjecture, and we illus…
Assembly maps for topological cyclic homology of group algebras
Wolfgang Lueck, Holger Reich, John Rognes +1
We use assembly maps to study , the topological cyclic homology at a prime of the group algebra of a discrete group with coefficients in a con…
Betti categories of graded modules and applications to monomial ideals and toric rings
Alexandre Tchernev, Marco Varisco
We introduce the notion of Betti category for graded modules over suitably graded polynomial rings, and more generally for modules over certain small categories. Our categorical ap…
Algebraic K-theory of group rings and the cyclotomic trace map
Wolfgang Lueck, Holger Reich, John Rognes +1
We prove that the Farrell-Jones assembly map for connective algebraic K-theory is rationally injective, under mild homological finiteness conditions on the group and assuming that…
On the Adams isomorphism for equivariant orthogonal spectra
Holger Reich, Marco Varisco
We give a natural construction and a direct proof of the Adams isomorphism for equivariant orthogonal spectra. More precisely, for any finite group G, any normal subgroup N of G, a…