67 citations · 453 across the 47 of their papers we have counts for
5 papers · 1 filter
Bases of total Witt groups and lax-similitude
Paul Balmer, Baptiste Calmès
We explain how to work with total Witt groups, more specifically, how to circumvent the classical embarrassment of making choices for line bundles up to isomorphisms and up to squa…
The fundamental isomorphism conjecture via non-commutative motives
Paul Balmer, Goncalo Tabuada
Given a group, we construct a fundamental additive functor on its orbit category. We prove that any isomorphism conjecture valid for this fundamental isomorphism functor holds for…
Model theoretic reformulation of the Baum-Connes and Farrell-Jones conjectures
Paul Balmer, Michel Matthey
The Isomorphism Conjectures are translated into the language of homotopical algebra, where they resemble Thomason's descent theorems.
Codescent theory II: Cofibrant approximations
Paul Balmer, Michel Matthey
We establish a general method to produce cofibrant approximations in the model category of -valued -indexed diagrams with -weak equivalences and -fibrations.…
Codescent theory I: Foundations
Paul Balmer, Michel Matthey
Consider a cofibrantly generated model category , a small category and a subcategory of . We endow the category of functors from to with a model structu…