42 citations · 69 across the 14 of their papers we have counts for
14 papers
Right-angled Artin groups, polyhedral products and the TC-generating function
Jorge Aguilar-Guzman, Jesus Gonzalez, John Oprea
For a graph , let denote the Eilenberg-Mac Lane space associated to the right-angled Artin (RAA) group defined by . We use the relationship between the combi…
The homotopy type of skeleta of the flag complex over a finite vector space
Jorge Aguilar-Guzman, Jesus Gonzalez, Jose Luis Leon-Medina
The aim of this paper is to give a (discrete) Morse theoretic proof of the fact that the -th skeleton of the flag complex , associated to the lattice of subspaces o…
Symmetric bi-skew maps and symmetrized motion planning in projective spaces
Jesús González
This work is motivated by the question of whether there are spaces for which the Farber-Grant symmetric topological complexity differs from the Basabe-González-Rudyak…
Projective product coverings and sequential motion planning algorithms in real projective spaces
Jesus Gonzalez, Darwin Gutierrez, Adriana Lara
For positive integers and , let stand for the -th tuple . We show that, for large enough , the higher topological complexity of an…
Complex-projective and lens product spaces
Jesus Gonzalez, Maurilio Velasco
Let be a positive integer. Following work of D. M. Davis, we study the topology of complex-projective product spaces, i.e. quotients of cartesian products of odd dimensional sp…
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…
Biequivariant Maps on Spheres and Topological Complexity of Lens Spaces
Jesus Gonzalez, Maurilio Velasco, W. Stephen Wilson
Weighted cup-length calculations in singular cohomology led Farber and Grant in 2008 to general lower bounds for the topological complexity of lens spaces. We replace singular coho…
The integral cohomology of configuration spaces of pairs of points in real projective spaces
Carlos Dominguez, Jesus Gonzalez, Peter Landweber
We compute the integral cohomology ring of configuration spaces of two points on a given real projective space. Apart from an integral class, the resulting ring is a quotient of th…
Higher topological complexity and its symmetrization
Ibai Basabe, Jesus Gonzalez, Yuli B. Rudyak +1
We develop the properties of the -th sequential topological complexity , a homotopy invariant introduced by the third author as an extension of Farber's topological model…
The integral cohomology groups of configuration spaces of pairs of points in real projective spaces
Jesus Gonzalez, Peter Landweber
We compute the integral homology and cohomology groups of configuration spaces of two distinct points on a given real projective space. The explicit answer is related to the (known…
Symmetric topological complexity as the first obstruction in Goodwillie's Euclidean embedding tower for real projective spaces
Jesus Gonzalez
As a first goal, it is explained why Goodwillie-Weiss calculus of embeddings offers new information about the Euclidean embedding dimension of P^m only for m < 16. Concrete scenari…
On the embedding dimension of 2-torsion lens spaces
Jesus Gonzalez, Peter Landweber, Thomas Shimkus
Using the - and -theoretic versions of Astey's cobordism obstruction for the existence of smooth Euclidean embeddings of stably almost complex manifolds, we prove that, for…
Symmetric topological complexity of projective and lens spaces
Jesus Gonzalez, Peter Landweber
For real projective spaces, (a) the Euclidean immersion dimension, (b) the existence of axial maps, and (c) the topological complexity are known to be three facets of the same prob…
Immersions of RP^{2^e-1}
Donald M. Davis, Giora Dula, Jesus Gonzalez +1
We prove that RP^{2^e-1} can be immersed in R^{2^{e+1}-e-7} provided e>6. If e>13, this is 1 better than previously known immersions. Our method is primarily an induction on geomet…