15 citations · 23 across the 11 of their papers we have counts for
11 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…
Conormal homology of manifolds with corners
Thomas Schick, Mario Velasquez
Given a manifold with corners , we associates to it the corner structure simplicial complex . Its reduced K-homology is isomorphic to the K-theory of the -algebra $\ma…
On Fredholm boundary conditions on manifolds with corners I: Global corner's cycles obstructions
Paulo Carrillo Rouse, Jean-Marie Lescure, Mario Velasquez
Given a connected manifold with corners of any codimension there is a very basic and computable homology theory called conormal homology defined in terms of faces and orientations…
A Kunneth formula for Bredon cohomology of pullbacks and twisted K-theory of some 6-dimensional orbifolds
German Combariza, Mario Velasquez
In this paper we show a Kunneth formula for Bredon cohomology for actions of a pullback of groups. We show how this formula can be used to compute orbifold twisted K-theory for som…
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…
Twisted K-Theory for the Orbifold [*/G]
Edward Becerra, Hermes Martinez, Mario Velasquez
We study the relationship between the twisted Orbifold K-theories ${^α}K_{orb}(\textsl{X})$ and ${^{α'}}K_{orb}(\textsl{Y})$ for two different twists and $α'\in Z…
A configuration space for equivariant connective K-homology
Mario Velasquez
Following ideas of Graeme Segal, we construct an equivariant con- figuration space that is a model of equivariant connective K-homology spec- trum for finite groups, as a consequen…