Search Results - "Ferreiro Pérez, Roberto"

Equivariant prequantization bundles on the space of connections and characteristic classes by Ferreiro Pérez, Roberto

“…We show how characteristic classes determine equivariant prequantization bundles over the space of connections on a principal bundle. These bundles are shown…”
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Differential characters and cohomology of the moduli of flat connections by Castrillón López, Marco, Ferreiro Pérez, Roberto

“…Let π : P → M be a principal bundle and p an invariant polynomial of degree r on the Lie algebra of the structure group. The theory of Chern–Simons…”
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On the geometrical interpretation of locality in anomaly cancellation by Ferreiro Pérez, Roberto

“…A notion of local section of the determinant line bundle is defined giving necessary and sufficient conditions for anomaly cancellation compatible with…”
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Equivariant differential characters and Chern–Simons bundles by Ferreiro Pérez, Roberto

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Local Anomalies and Local Equivariant Cohomology by FERREIRO PEREZ, Roberto

“…The locality conditions for the vanishing of local anomalies in field theory are shown to admit a geometrical interpretation in terms of local equivariant…”
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Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields by Ferreiro Pérez, Roberto

“…Two examples of Diff+S1-invariant closed two-forms obtained from forms on jet bundles, which does not admit equivariant moment maps are presented. The…”
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Equivariant differential characters and Chern-Simons bundles by Pérez, Roberto Ferreiro

“…Algebr. Geom. Topol. 21 (2021) 1911-1940 We construct Chern-Simons bundles as $\mathrm{Aut}^{+}P$-equivariant $U(1)$ -bundles with connection over the space of…”
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On the geometrical interpretation of locality in anomaly cancellation by Pérez, Roberto Ferreiro

“…J. Geom. Phys., 133 (2018), pp. 102-112 A notion of local section of the determinant line bundle is defined giving necessary and suficient conditions for…”
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Symplectic structure and reduction on the space of Riemannian metrics by Pérez, Roberto Ferreiro, Masqué, Jaime Muñoz

“…The space of Riemannian metrics on an oriented compact manifold M of dimension n  = 4 k  − 2 is endowed with a canonical presymplectic structure and a moment…”
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Differential characters and cohomology of the moduli of flat Connections by López, Marco Castrillón, Pérez, Roberto Ferreiro

“…Letters in Mathematical Physics 2018 Let $\pi\colon P\to M$ be a principal bundle and $p$ an invariant polynomial of degree r on the Lie algebra of the…”
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Conserved current for the Cotton tensor, black hole entropy and equivariant Pontryagin forms by Pérez, Roberto Ferreiro

“…Class.Quant.Grav.27:135015,2010 The Chern-Simons lagrangian density in the space of metrics of a 3-dimensional manifold M is not invariant under the action of…”
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Equivariant holonomy of U(1)-bundles by Perez, Roberto Ferreiro

“…Differential Geom. Appl. 66 (2019) 1--12 We define the equivariant holonomy of an invariant connection on a principal U(1)-bundle. The properties of the…”
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Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields by Pérez, Roberto Ferreiro, Masqué, Jaime Muñoz

“…SIGMA 5 (2009), 063, 7 pages Two examples of $\mathrm{Diff}^+S^1$-invariant closed two-forms obtained from forms on jet bundles, which does not admit…”
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Equivariant prequantization bundles on the space of connections and characteristic classes by Perez, Roberto Ferreiro

“…Annali di Matematica Pura ed Applicata 2018 We show how characteristic classes determine equivariant prequantization bundles over the space of connections on a…”
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Equivariant prequantization and the moment map by Pérez, Roberto Ferreiro

“…If {\omega} is a closed G-invariant 2-form and {\mu} a moment map, then we obtain necessary and sufficient conditions for equivariant pre-quantizability that…”
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Locality and universality in gravitational anomaly cancellation by Pérez, Roberto Ferreiro

“…We obtain necesary and sufficient conditions for gravitational anomaly cancellation. We show that perturbative gravitational anomalies can never be cancelled…”
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Local Anomalies, Local Equivariant Cohomology and the Variational Bicomplex by Perez, Roberto Ferreiro

“…Commun.Math.Phys.286:445-458,2009 The locality conditions for the vanishing of local anomalies in field theory are shown to admit a geometrical interpretation…”
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Equivariant characteristic classes in the bundle of connections by Perez, Roberto Ferreiro

“…J. Geom. Phys. 54 (2005) 197--212 The characteristic forms in the bundle of connections of a principal bundle P over M determine the characteristic classes of…”
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Pontryagin forms on $(4k-2)$-manifolds and symplectic structures on the spaces of Riemannian metrics by Perez, Roberto Ferreiro, Masque, Jaime Muñoz

“…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…”
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Natural connections on the bundle of Riemannian metrics by Perez, Roberto Ferreiro, Masque, Jaime Muñoz

“…Let $FM,\mathcal{M}_M$ be the bundles of linear frames and Riemannian metrics of a manifold $M$, respectively. The existence of a unique…”
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