14 citations · 26 across the 7 of their papers we have counts for
7 papers
Equivariant prequantization and the moment map
Roberto Ferreiro Pérez
If ω is a closed G-invariant 2-form and μ a moment map, then we obtain necessary and sufficient conditions for equivariant pre-quantizability that can be computed in terms of the m…
Equivariant differential characters and Chern-Simons bundles
Roberto Ferreiro Pérez
We construct Chern-Simons bundles as -equivariant -bundles with connection over the space of connections on a principal -bundle $P\ri…
Locality and universality in gravitational anomaly cancellation
Roberto Ferreiro Pérez
We obtain necesary and sufficient conditions for gravitational anomaly cancellation. We show that perturbative gravitational anomalies can never be cancelled. In a similar way, in…
On the geometrical interpretation of locality in anomaly cancellation
Roberto Ferreiro Pérez
A notion of local section of the determinant line bundle is defined giving necessary and suficient conditions for anomaly cancellation compatible with locality. This definition giv…
Differential characters and cohomology of the moduli of flat Connections
Marco Castrillón López, Roberto Ferreiro Pérez
Let be a principal bundle and an invariant polynomial of degree r on the Lie algebra of the structure group. The theory of Chern-Simons differential characters…
Conserved current for the Cotton tensor, black hole entropy and equivariant Pontryagin forms
Roberto Ferreiro Pérez
The Chern-Simons lagrangian density in the space of metrics of a 3-dimensional manifold M is not invariant under the action of diffeomorphisms on M. However, its Euler-Lagrange ope…
Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields
Roberto Ferreiro Pérez, Jaime Muñoz Masqué
Two examples of -invariant closed two-forms obtained from forms on jet bundles, which does not admit equivariant moment maps are presented. The corresponding co…