11 citations · 27 across the 8 of their papers we have counts for
8 papers
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 …
The Lower Algebraic K-Theory of Split Three-Dimensional Crystallographic Groups
Daniel Farley, Ivonne J. Ortiz
We explicitly compute the lower algebraic K-theory of the split three-dimensional crystallographic groups; i.e., the groups G that act properly and cocompactly on three-dimensional…
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…
Lower algebraic K-theory of certain reflection groups
J. -F. Lafont, B. A. Magurn, I. J. Ortiz
For a finite volume geodesic polyhedron P in hyperbolic 3-space, with the property that all interior angles between incident faces are integral submultiples of Pi, there is a natur…
Splitting formulas for certain Waldhausen Nil-groups
J. -F. Lafont, I. J. Ortiz
For a group G that splits as an amalgamation of A and B over a common subgroup C, there is an associated Waldhausen Nil-group, measuring the "failure" of Mayer-Vietoris for algebra…
Algebraic K-theory of hyperbolic 3-simplex reflection groups
J. -F. Lafont, I. J. Ortiz
A hyperbolic 3-simplex reflection group is a Coxeter group arising as a lattice in the isometry group of hyperbolic 3-space, with fundamental domain a geodesic simplex (possibly wi…