Chern–Simons forms for ℝ-linear connections on Lie algebroids

DOI10.1142/S0129167X18500945zbMath1404.53030arXiv1106.0928OpenAlexW2962749786MaRDI QIDQ4644397

Bogdan Balcerzak

Publication date: 7 January 2019

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0928

zbMATH Keywords

connectionsLie algebroidChern-Simons formsLie algebroid cohomology

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Pseudogroups and differentiable groupoids (58H05) Connections (general theory) (53C05)

Cites Work

• Algebraic constructions in the category of Lie algebroids
• Lie algebroids, holonomy and characteristic classes
• Transitive Lie algebroids of rank 1 and locally conformal symplectic structures.
• The generalized Stokes theorem for ℝ-linear forms on Lie algebroids
• Calculus on Lie algebroids, Lie groupoids and Poisson manifolds
• On a structure of the Lie algebroid of a vector bundle
• Transverse measures, the modular class and a cohomology pairing for Lie algebroids
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