23 citations · 52 across the 14 of their papers we have counts for
14 papers
Positive Scalar Curvature and crystallographic fundamental groups
Noe Barcenas, Mario Velasquez
We examine positive and negative results for the Gromov-Lawson-Rosenberg Conjecture within the class of crystallographic groups. We give necessary conditions within the class of sp…
The Gromov-Lawson-Rosenberg Conjecture for Z/4xZ/4
Noe Barcenas, Luis Eduardo Garcia-Hernandez, Raphael Reinauer
We prove the Gromov-Lawson-Rosenberg Conjecture for the group Z/4xZ/4 by computing the connective real k-homology of the classifying space with the Adams spectral sequence and two…
A survey of Computations of Bredon Cohomology
Noe Barcenas
We present an overview of computational methods for Bredon cohomology with a special focus on infinite groups
A completion theorem for fusion systems
Noe Barcenas, Jose Cantarero
We show that the twisted K-theory of the classifying space of a p-local finite group is isomorphic to the completion of the Grothendieck group of twisted representations of the fus…
Topological rigidity of higher graph manifolds
Noé Bárcenas, Daniel Juan-Pineda, Pablo Suárez-Serrato
In this short note we prove the Borel conjecture for a family of aspherical manifolds that includes higher graph manifolds.
Twisted Geometric K-homology for Proper actions of discrete groups
Noe Barcenas
We define twisted equivariant K-homology groups using geometric cycles. We compare them with approaches using Kasparov KK-Theory and (twisted) group C*-algebras.
The Completion Theorem in twisted equivariant -Theory for proper and discrete actions
Noe Barcenas, Mario Velasquez
We compare different algebraic structures in twisted equivariant K-Theory for proper actions of discrete groups. After the construction of a module structure over untwisted equivar…
Equivariant K-Theory of Central Extensions and Twisted Equivariant K-theory: Sl3(Z) and St3(Z)
Noe Barcenas, Mario Velasquez
We compare twisted Equivariant K-theory of Sl3Z with untwisted equivariant K-Theory of its universal central extension, St3Z. Using universal coefficient theorems by the authors, t…
Bredon Cohomology, K theory and K homology of Pullbacks of groups
Noe Barcenas, Daniel Juan-Pineda, Mario Velasquez
We develop an Eilenberg-Moore spectral sequence to compute Bredon cohomology of spaces with an action of a group given as a pullback. Using several other spectral sequences, and po…
Segal's spectral sequence in twisted equivariant K-theory for proper and discrete actions
Noe Barcenas, Jesus Espinoza, Bernardo Uribe +1
We use a spectral sequence developed by Graeme Segal in order to understand the twisted G-equivariant K-theory for proper and discrete actions. We show that the second page of this…
Twisted equivariant K- Theory and K-Homology of Sl3(Z)
Noe Barcenas, Mario Velasquez
Replaces Previous version. Includes comments on poincare duality for twisted equivariant in the context of proper and discrete actions and the Baum-Connes Conjecture. We use a spec…
Nonlinearity, Proper Actions and Equivariant Stable Cohomotopy
Noe Barcenas
In this article we extend the classical definitions of equivariant cohomotopy theory to the setting of proper actions of Lie groups. We combine methods originally developed in the…
Mountain Pass Theorem With infinite symmetry
Noe Barcenas
We extend a work of Bartsch, Clapp and Puppe on the Mountain pass theorems. We consider functionals invariant with respect to infinite discrete groups satisfying a maximality condi…
Universal twist in Equivariant K-theory for proper and discrete actions
Noe Barcenas, Jesus Espinoza, Michael Joachim +1
We define equivariant projective unitary stable bundles as the appropriate twists when defining K-theory as sections of bundles with fibers the space of Fredholm operators over a H…