27 citations · 81 across the 10 of their papers we have counts for
7 papers · 1 filter
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…
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…
A Decomposition of Twisted Equivariant -Theory
José Manuel Gómez, Johana Ramírez
For a finite group, a normalized 2-cocycle and a -space on which a normal subgroup acts trivially, we show that the -twist…
Equivariant complex bundles, fixed points and equivariant unitary bordism
Andrés Angel, José Manuel Gómez, Bernardo Uribe
We study the fixed points of the universal G-equivariant n-dimensional complex vector bundle and obtain a decomposition formula in terms of twisted equivariant universal complex ve…
Infinite loop spaces and nilpotent K-theory
Alejandro Adem, José Manuel Gómez, John A. Lind +1
Using a construction derived from the descending central series of the free groups, we produce filtrations by infinite loop spaces of the classical infinite loop spaces , …
A classifying space for commutativity in Lie groups
Alejandro Adem, José Manuel Gómez
In this article we consider a space B_{com}G assembled from commuting elements in a Lie group G first defined in [Adem, Cohen, Torres-Giese 2012]. We describe homotopy-theoretic pr…
On the structure of spaces of commuting elements in compact Lie groups
Alejandro Adem, José Manuel Gómez
In this note we study topological invariants of the spaces of homomorphisms Hom(π,G), where π is a finitely generated abelian group and G is a compact Lie group arising as an arbit…