11 citations · 26 across the 5 of their papers we have counts for
6 papers
The cohomology ring away from 2 of configuration spaces on real projective spaces
Jesús González, Aldo Guzmán-Sáenz, Miguel Xicotencatl
Let R be a commutative ring containing 1/2. We compute the R-cohomology ring of the configuration space F(m,k) of k ordered points in the m-dimensional real projective space. The m…
Topological complexity of motion planning in projective product spaces
Jesus Gonzalez, Mark Grant, Enrique Torres-Giese +1
We study Farber's topological complexity (TC) of Davis' projective product spaces (PPS's). We show that, in many non-trivial instances, the TC of PPS's coming from at least two sph…
Jordan-Schwinger map, 3D harmonic oscillator constants of motion, and classical and quantum parameters characterizing electromagnetic wave polarization
R. D. Mota, M. A. Xicotencatl, V. D. Granados
In this work we introduce a generalization of the Jauch and Rohrlich quantum Stokes operators when the arrival direction from the source is unknown {\it a priori}. We define the ge…
Orbifold String Topology
Ernesto Lupercio, Bernardo Uribe, Miguel A. Xicotencatl
In this paper we study the string topology (á la Chas-Sullivan) of an orbifold. We define the string homology ring product at the level of the free loop space of the classifying sp…
Orbit configuration spaces associated to discrete subgroups of PSL(2,R)
Frederick R. Cohen, Toshitake Kohno, Miguel A. Xicotencatl
The purpose of this article is to analyze several Lie algebras associated to "orbit configuration spaces" obtained from a group G acting freely, and properly discontinuously on the…
Lie algebras associated to fiber-type arrangements
Daniel C. Cohen, Frederick R. Cohen, Miguel Xicotencatl
Given a hyperplane arrangement in a complex vector space of dimension n, there is a natural associated arrangement of codimension k subspaces in a complex vector space of dimension…