3 papers
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.GR2024
Linear and smooth oriented equivalence of orthogonal representations of finite groups
Luis Eduardo García-Hernández, Ben Williams
Let be an integer, and let be a finite group. We prove that if are two representations that are conjugate by an orientation-preserving diffeomorphis…
math.GR2023
The classifying space for commutativity of geometric orientable 3-manifold groups
Omar Antolín-Camarena, Luis Eduardo García-Hernández, Luis Jorge Sánchez Saldaña
For a topological group let be the total space of the universal transitionally commutative principal -bundle as defined by Adem--Cohen--Torres-Giese. S…