22 citations · 60 across the 6 of their papers we have counts for
8 papers · 1 filter
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…
Equivariant K-theory of compact Lie group actions with maximal rank isotropy
Alejandro Adem, José Manuel Gómez
Let G denote a compact connected Lie group with torsion-free fundamental group acting on a compact space X such that all the isotropy subgroups are connected subgroups of maximal r…
Stable splittings, spaces of representations and almost commuting elements in Lie groups
Alejandro Adem, Frederick R. Cohen, Jose Manuel Gomez
In this paper the space of almost commuting elements in a Lie group is studied through a homotopical point of view. In particular a stable splitting after one suspension is derived…
On the fundamental group of Hom(Z^k,G)
Jose Manuel Gomez, Alexandra Pettet, Juan Souto
Let G be a compact Lie group, and consider the variety Hom(Z^k,G) of representations of Z^k into G. We view this as a based space by designating the trivial representation to be it…
Cohomology of Toroidal Orbifold Quotients
Alejandro Adem, Ali Nabi Duman, Jose Manuel Gomez
Let denote an integral representation of the cyclic group of prime order . This induces a -action on the torus . The goal of this p…
From fibered symmetric bimonoidal categories to symmetric spectra
Jose Manuel Gomez
In here we define the concept of fibered symmetric bimonoidal categories. These are roughly speaking fibered categories D->C whose fibers are symmetric monoidal categories parametr…
On the nonexistence of higher twistings
Jose Manuel Gomez
In this note we show that there are no higher twistings for the Borel cohomology theory associated to G-equivariant K-theory over a point and for a compact Lie group G. Therefore,…
Commuting elements in central products of special unitary groups
Alejandro Adem, Frederick R. Cohen, Jose Manuel Gomez
In this paper the space of commuting elements in the central product of copies of the special unitary group is studied, where is a prime number. In partic…