7 citations · 13 across the 7 of their papers we have counts for
7 papers
A directed persistent homology theory for dissimilarity functions
David Méndez, Rubén J. Sánchez-García
We develop a theory of persistent homology for directed simplicial complexes which detects persistent directed cycles in odd dimensions. We relate directed persistent homology to c…
Possibility results for graph clustering: A novel consistency axiom
Fabio Strazzeri, Rubén J. Sánchez-García
Kleinberg introduced three natural clustering properties, or axioms, and showed they cannot be simultaneously satisfied by any clustering algorithm. We present a new clustering pro…
Equivariant -homology for hyperbolic reflection groups
Jean-François Lafont, Ivonne J. Ortiz, Alexander Rahm +1
We compute the equivariant -homology of the classifying space for proper actions, for compact 3-dimensional hyperbolic reflection groups. This coincides with the topological …
Rational equivariant K-homology of low dimensional groups
Jean-François Lafont, Ivonne J. Ortiz, Rubén J. Sánchez-García
We consider groups G which have a cocompact, 3-manifold model for the classifying space \underline{E}G. We provide an algorithm for computing the rationalized equivariant K-homolog…
Computing Borel's Regulator II
Zacky Choo, Wajid Mannan, Rubén J. Sánchez-García +1
This paper has been merged with arXiv:0908.3765
K-Theory for group C^*-algebras
Paul F. Baum, Rubén J. Sánchez-García
These notes are based on a lecture course given by the first author in the Sedano Winter School on K-theory held in Sedano, Spain, on January 22-27th of 2007. They aim at introduci…
Computing Borel's Regulator
Zacky Choo, Wajid Mannan, Rubén J. Sánchez-García +1
We present an infinite series formula based on the Karoubi-Hamida integral, for the universal Borel class evaluated on H_{2n+1}(GL(\mathbb{C})). For a cyclotomic field F we define…