68 citations · 214 across the 38 of their papers we have counts for
42 papers
A stable splitting for spaces of commuting elements in unitary groups
Alejandro Adem, José Manuel Gómez, Simon Gritschacher
We prove an analogue of Miller's stable splitting of the unitary group for spaces of commuting elements in . After inverting , the space $\text{Hom}(\mathbb{Z}^n,U…
Minimal Euler Characteristics for Even-Dimensional Manifolds with Finite Fundamental Group
Alejandro Adem, Ian Hambleton
We consider the Euler characteristics of closed orientable topological -manifolds with -connected universal cover and a given fundamental group of type .…
On the second homotopy group of spaces of commuting elements in Lie groups
Alejandro Adem, José Manuel Gómez, Simon Gritschacher
Let be a compact connected Lie group and an integer. Consider the space of ordered commuting -tuples in , , and its quotient under the…
On the moduli spaces of commuting elements in the projective unitary groups
Alejandro Adem, Man Chuen Cheng
We provide descriptions for the moduli spaces , where is any finitely generated abelian group and is the group of projective unitary m…
Twisted equivariant K-theory of compact Lie group actions with maximal rank isotropy
Alejandro Adem, José Cantarero, José Manuel Gómez
We consider twisted equivariant K--theory for actions of a compact Lie group on a space where all the isotropy subgroups are connected and of maximal rank. We show that the…
Free Finite Group Actions on Rational Homology 3--Spheres
Alejandro Adem, Ian Hambleton
We use methods from the cohomology of groups to describe the finite groups which can act freely and homologically trivially on closed 3-manifolds which are rational homology sphere…