4 papers
Solid Duality for Profinite Groups
Ged Corob Cook, Max Gheorghiu, SofÃa Marlasca Aparicio +1
We classify profinite groups that have a Poincaré-like duality between their homology and cohomology. Our proofs work over every profinite coefficient ring, and for profinite as w…
A three-functor formalism for commutative von Neumann algebras
Andre G. Henriques, Thomas A. Wasserman
A three-functor formalism is the half of a six-functor formalism that supports the projection and base change formulas. In this paper, we provide a three-functor formalism for comm…
Cohen--Macaulay Complexes, Duality Groups, and the dualizing module of
Richard D. Wade, Thomas A. Wasserman
We explain how Cohen--Macaulay classifying spaces are ubiquitous among discrete groups that satisfy Bieri--Eckmann duality, and compare Bieri--Eckmann duality to duality results fo…
Duality for Cohen--Macaulay Complexes through Combinatorial Sheaves
Richard D. Wade, Thomas A. Wasserman
We prove a duality theorem for Cohen--Macaulay simplicial complexes. This is a generalisation of Poincaré Duality, framed in the language of combinatorial sheaves. Our treatment i…