5 papers
Linear models of the exceptional Lie algebra
Yolanda Cabrera, Cristina Draper, Antonio Garvin
This work provides five explicit constructions of the exceptional Lie algebra , based on its semisimple subalgebras of maximal rank. Each of these models is graded…
An algorithm to compute minimal Sullivan algebras
Antonio Garvin, Rocio Gonzalez-Diaz, Belen MEdrano
In this note, we give an algorithm that starting with a Sullivan algebra gives us its minimal model. This algorithm is a kind of modified AT-model algorithm used to compute in the…
Rational maps from Euclidean Configuration Spaces to Spheres
Urtzi Buijs, Antonio Garvin, Aniceto Murillo
In this note we give an algorithm to determine the rational homotopy type of the free and pointed mapping spaces and .…
Invariant affine connections on odd-dimensional spheres
Cristina Draper, Antonio Garvín, Francisco J. Palomo
A Riemann-Cartan manifold is a Riemannian manifold endowed with an affine connection which is compatible with the metric tensor. This affine connection is not necessarily torsion f…
Homotopy equivalences of localized aspherical complexes
A. Garvín, A. Murillo, J. Remedios +1
By studying the group of self homotopy equivalences of the localization (at a prime and/or zero) of some aspherical complexes, we show that, contrary to the case when the consi…