15 citations · 23 across the 11 of their papers we have counts for
7 papers · 1 filter
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…
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…