23 citations · 52 across the 14 of their papers we have counts for
5 papers · 1 filter
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…
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…