Differential characters and cohomology of the moduli of flat connections

DOI10.1007/s11005-018-1095-7zbMath1411.53020arXiv1711.06995OpenAlexW2770792456WikidataQ129848547 ScholiaQ129848547MaRDI QIDQ1731130

Roberto Ferreiro Pérez, Marco Castrillón López

Publication date: 20 March 2019

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.06995

zbMATH Keywords

characteristic classesChern-Simonsdifferential charactersmoduli of flat connections

Mathematics Subject Classification ID

Connections (general theory) (53C05) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Geometries with differentiable structure (51H25)

Related Items (5)

Invariants of families of flat connections using fiber integration of differential characters ⋮ Equivariant prequantization bundles on the space of connections and characteristic classes ⋮ Equivariant holonomy of U(1)-bundles ⋮ Chern-Simons invariants in \textit{KK}-theory ⋮ Quantization of polysymplectic manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equivariant characteristic forms on the bundle of connections
• Local anomalies and local equivariant cohomology
• Cohomological invariants of a variation of flat connections
• Topological gauge theories and group cohomology
• Zeros d'un champ de vecteurs et classes characteristiques équivariantes
• Equivariant prequantization bundles on the space of connections and characteristic classes
• Characteristic forms and geometric invariants
• The contact ideal
• Gerbes, simplicial forms and invariants for families of foliated bundles
• Differential characters
• The topological period-index problem over 6-complexes
• Dirac operators coupled to vector potentials
• LOCAL COHOMOLOGY AND THE VARIATIONAL BICOMPLEX
• Flat connections and cohomology invariants
• The Yang-Mills equations over Riemann surfaces
• The geometry of the bundle of connections

This page was built for publication: Differential characters and cohomology of the moduli of flat connections