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

2011/06/05 by Bogdan Balcerzak, Balcerzak, Bogdan
Mathematics · Physics and Astronomy · #17B56 #53C05 #58H05 #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #math.DG #msc:17B56 #msc:53C05 #msc:58H05

paper · pdf · doi:10.48550/arxiv.1106.0928

arxiv created 2011/06/05 · openalex publication_date 2011/06/05 · arxiv updated 2011/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Chern-Simons forms for R-linear connections on Lie algebroids are considered. A generalized Chern-Simons formula for such R-linear connections is obtained. We it apply to define Chern character and secondary characteristic classes for R-linear connections of Lie algebroids.

Related

• Algebraic Constructions in the Category of Lie Algebroids
• Algebraic Chern Simons Theory
• Chern characters via connections up to homotopy
• The Generalized Stokes theorem for R-linear forms on Lie algebroids
• Lie Algebroids, Holonomy and Characteristic Classes