4 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…
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…
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…