22 citations · 51 across the 7 of their papers we have counts for
7 papers
Equivariant holonomy of U(1)-bundles
Roberto Ferreiro Perez
We define the equivariant holonomy of an invariant connection on a principal U(1)-bundle. The properties of the ordinary holonomy are generalized to the equivariant setting. In par…
Equivariant prequantization bundles on the space of connections and characteristic classes
Roberto Ferreiro Perez
We show how characteristic classes determine equivariant prequantization bundles over the space of connections on a principal bundle. These bundles are shown to generalize the Cher…
Modulus on graphs as a generalization of standard graph theoretic quantities
Nathan Albin, Megan Brunner, Roberto Perez +2
This paper presents new results for the modulus of families of walks on a graph---a discrete analog of the modulus of curve families due to Beurling and Ahlfors. Particular attenti…
Local Anomalies, Local Equivariant Cohomology and the Variational Bicomplex
Roberto Ferreiro Perez
The locality conditions for the vanishing of local anomalies in field theory are shown to admit a geometrical interpretation in terms of local equivariant cohomology, thus providin…
Natural connections on the bundle of Riemannian metrics
Roberto Ferreiro Perez, Jaime Muñoz Masque
Let be the bundles of linear frames and Riemannian metrics of a manifold , respectively. The existence of a unique -invariant connection form…
Pontryagin forms on -manifolds and symplectic structures on the spaces of Riemannian metrics
Roberto Ferreiro Perez, Jaime Muñoz Masque
The Pontryagin forms on 1-jet bundle of Riemannian metrics, are shown to provide, in a natural way, diffeomorphism-invariant pre-symplectic structures on the space of Riemannian me…