Pontryagin forms on \((4r-2)\)-manifolds and symplectic structures on the spaces of Riemannian metrics

DOI10.1016/j.difgeo.2012.03.005zbMath1250.53075arXivmath/0507076OpenAlexW2011883581WikidataQ115356726 ScholiaQ115356726MaRDI QIDQ417654

Roberto Ferreiro Pérez, Jaime Muñoz Masqué

Publication date: 14 May 2012

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507076

zbMATH Keywords

diffeomorphism invariancebundle of Riemannian metricsequivariant characteristic classespre-symplectic structureuniversal Pontryagin formsWeil-Petersson symplectic form

Mathematics Subject Classification ID

Symplectic structures of moduli spaces (53D30) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (6)

Local anomalies and local equivariant cohomology ⋮ Equivariant differential characters and Chern-Simons bundles ⋮ Natural connections on the bundle of Riemannian metrics ⋮ Equivariant prequantization bundles on the space of connections and characteristic classes ⋮ Symplectic structure and reduction on the space of Riemannian metrics ⋮ On the geometrical interpretation of locality in anomaly cancellation

Cites Work

• Equivariant characteristic forms on the bundle of connections
• Local anomalies and local equivariant cohomology
• The hyperbolic metric and the geometry of the universal curve
• Natural connections on the bundle of Riemannian metrics
• Zeros d'un champ de vecteurs et classes characteristiques équivariantes
• The moment map and equivariant cohomology
• Scalar differential invariants and characteristic classes of homogeneous geometrical structures
• Cohomological obstructions to the equivariant extension of closed invariant forms
• Symplectic structure and reduction on the space of Riemannian metrics
• LOCAL COHOMOLOGY AND THE VARIATIONAL BICOMPLEX
• Conserved current for the Cotton tensor, black hole entropy and equivariant Pontryagin forms
• THE RIEMANNIAN MANIFOLD OF ALL RIEMANNIAN METRICS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Pontryagin forms on \((4r-2)\)-manifolds and symplectic structures on the spaces of Riemannian metrics