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math.DG2020
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…
math.DG2017★ 4 cited
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…
math.DG2009
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…