E. Macías–Virgós

most citedDe Rham cohomology of diffeological spaces and foliations

4 citations · 6 across the 6 of their papers we have counts for

collaborators

6 papers

math.RA2009

Symplectic matrices with predetermined left eigenvalues

E. Macías-Virgós, M. J. Pereira-Sáez

We prove that given four arbitrary quaternion numbers of norm 1 there always exists a $2 \times 2$ symplectic matrix for which those numbers are left eigenvalues. The proof is const…

math.AT2009★ 2 cited

Trace map, Cayley transform and LS category of Lie groups

A. Gómez-Tato, E. Macías-Virgós, M. J. Pereira-Sáez

The aim of this paper is to use the so-called Cayley transform to compute the LS category of Lie groups and homogeneous spaces by giving explicit categorical open coverings. When a…

math.DG2009★ 4 cited

De Rham cohomology of diffeological spaces and foliations

G. Hector, E. Macías-Virgós, E. Sanmartín-Carbón

Let $(M, F)$ be a foliated manifold. We prove that there is a canonical isomorphism between the complex of base-like forms $Ω_{b}^{*} (M, F)$ of the foliation and the…

math.AT2008

A cohomological lower bound for the transverse LS category of a foliated manifold

E. Macías-Virgós

Let $F$ be a compact Hausdorff foliation on a compact manifold. Let $E_{2}^{> 0, ∙} = \oplus {E_{2}^{p, q} : p > 0, q \geq 0}$ be the subalgebra of cohomology classes wit…

math.DG2008

The diffeomorphism group of a Lie foliation

G. Hector, E. Macías-Virgós, A. Sotelo-Armesto

We explicitly compute the diffeomorphism group of several types of linear foliations (with dense leaves) on the torus $T^{n}$ , $n \geq 2$ , namely codimension one foliations, flows, an…

math.RA2008

Left eigenvalues of $2 \times 2$ symplectic matrices