5 citations · 12 across the 5 of their papers we have counts for
7 papers
The ideal-valued index of fibrations with total space a flag manifold
Noé Bárcenas, Jaime Calles Loperena
Using the cohomology of the -flag manifolds , and their structure as a fiber bundle over the homogeneous space , we compute the Fadel…
A probabilistic approach to exhaustion in the infinite-genus case
Noé Bárcenas, Jesús Hernández-Hernández, Ricardo Chávez-Cáliz
We explore the use of Costa and Farber's model for random simplicial complexes to give probabilistic evidence for exhaustion via rigid expansions on random simplicial complexes whi…
On topological rigidity of Alexandrov -spaces
Noé Bárcenas, Jesús Núñez-Zimbrón
In this note we prove the Borel Conjecture for closed, irreducible and sufficiently collapsed three-dimensional Alexandrov spaces. We also pose several questions related to charact…
Positive scalar curvature and low-degree group homology
Noé Bárcenas, Rudolf Zeidler
Let be a discrete group. Assuming rational injectivity of the Baum-Connes assembly map, we provide new lower bounds on the rank of the positive scalar curvature bordism group a…
Analytical Signatures and Proper Actions
Noé Bárcenas, Quitzeh Morales Meléndez
In this short note we compare Mishchenko's definition of noncommutative signature for a manifold with proper -action of a discrete, countable group with the (more analytical…
Stable finiteness properties of infinite discrete groups
Noé Bárcenas, Dieter Degrijse, Irakli Patchkoria
Let be an infinite discrete group. A classifying space for proper actions of is a proper -CW-complex such that the fixed point sets are contractible for all fi…
Multiplicative Structures and the Twisted Baum-Connes Assembly map
Noé Bárcenas, Paulo Carrillo Rouse, Mario Velásquez
Using a combination of Atiyah-Segal ideas on one side and of Connes and Baum-Connes ideas on the other, we prove that the Twisted geometric K-homology groups of a Lie groupoid have…