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math.AT2025
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…
math.AT2024
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…
math.AT2018
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…