Čech cocycles for characteristic classes

DOI10.1007/BF02104916zbMath0859.57029OpenAlexW2040185880MaRDI QIDQ1924018

Jean-Luc Brylinski, Dennis A. McLaughlin

Publication date: 13 October 1996

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

Full work available at URL: https://doi.org/10.1007/bf02104916

zbMATH Keywords

differential formsvector bundlescharacteristic classesconnectionsChern-Simons classesinstanton numberČech cocycles

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) ?ech types (55N05)

Related Items

Approximate and discrete Euclidean vector bundles, Local formulae for Stiefel-Whitney classes, Extended higher cup-product Chern-Simons theories, Abelian duality in topological field theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The dilogarithm as a characteristic class for flat bundles
• Spectral geometry of singular Riemannian spaces
• A method of computing characteristic classes of vector bundles
• Characteristic classes of flat bundles
• Higher regulators and values of \(L\)-functions
• 2- and 3-cochains in 4-dimensional SU(2) gauge theory
• Combinatorial calculation of characteristic classes
• Characteristic classes for flat bundles and their formulas
• The geometry of degree-four characteristic classes and of line bundles on loop spaces. I
• Characteristic forms and geometric invariants
• The geometry of degree-4 characteristic classes and of line bundles on loop spaces. II
• Sur les théorèmes de de Rham
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• A combinatorial formula for the Pontrjagin classes
• Existence of Universal Connections