59 citations · 188 across the 12 of their papers we have counts for
12 papers
On the space of null geodesics of a spacetime: the compact case, Engel geometry and retrievability
Adrià Marín-Salvador, Roberto Rubio
We compute the contact manifold of null geodesics of the family of spacetimes $\{(\mathbb{S}^2\times\mathbb{S}^1, g_\circ-\frac{d^2}{c^2}dt^2)\}_{d,c\in\mathbb{N}^+\text{ coprime}}…
Correction to: Representation Growth and Rational Singularities of the Moduli Space of Local Systems
Avraham Aizenbud, Nir Avni, Roberto Rubio
We explain and correct a mistake in Section 2.6 and Appendix C of the first and second author's paper "Representation Growth and Rational Singularities of the Moduli Space of Local…
Complex Dirac structures: invariants and local structure
Dan Aguero, Roberto Rubio
We study complex Dirac structures, that is, Dirac structures in the complexified generalized tangent bundle. These include presymplectic foliations, transverse holomorphic structur…
Gauge theory for string algebroids
Mario Garcia-Fernandez, Roberto Rubio, Carl Tipler
We introduce a moment map picture for holomorphic string algebroids where the Hamiltonian gauge action is described by means of inner automorphisms of Courant algebroids. The zero…
On the Gelfand property for complex symmetric pairs
Roberto Rubio
We first prove, for pairs consisting of a simply connected complex reductive group together with a connected subgroup, the equivalence between two different notions of Gelfand pair…
Holomorphic string algebroids
Mario Garcia-Fernandez, Roberto Rubio, Carl Tipler
We introduce the category of holomorphic string algebroids, whose objects are Courant extensions of Atiyah Lie algebroids of holomorphic principal bundles, as considered by Bressle…
Canonical metrics on holomorphic Courant algebroids
Mario Garcia-Fernandez, Roberto Rubio, C. S. Shahbazi +1
The solution of the Calabi Conjecture by Yau implies that every Kähler Calabi-Yau manifold admits a metric with holonomy contained in , and that these metrics a…
The Lie group of automorphisms of a Courant algebroid and the moduli space of generalized metrics
Roberto Rubio, Carl Tipler
We endow the group of automorphisms of an exact Courant algebroid over a compact manifold with an infinite dimensional Lie group structure modelled on the inverse limit of Hilbert…
On higher Dirac structures
Henrique Bursztyn, Nicolas Martinez Alba, Roberto Rubio
We study higher-order analogues of Dirac structures, extending the multisymplectic structures that arise in field theory. We define higher Dirac structures as involutive subbundles…
Higgs bundles, the Toledo invariant and the Cayley correspondence
Olivier Biquard, Oscar Garcia-Prada, Roberto Rubio
We define the Toledo invariant of a G-Higgs bundle on a Riemann surface, where G is a real semisimple group of Hermitian type, and we prove a Milnor-Wood type bound for this invari…
Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry
Mario Garcia-Fernandez, Roberto Rubio, Carl Tipler
We construct the space of infinitesimal variations for the Strominger system and an obstruction space to integrability, using elliptic operator theory. We initiate the study of the…
Bn-generalized geometry and G2(2)-structures
Roberto Rubio
We introduce the concept of G2(2)-structure on an orientable 3-manifold M using the setting of generalized geometry of type Bn, study their local deformation by making use of a Mos…