2009/06/22 by Zhaohu Nie, Nie, Zhaohu
Mathematics · #Advanced Operator Algebra Research #Algebraic and Geometric Analysis #Homotopy and Cohomology in Algebraic Topology #math.DG #msc:53C05 #msc:57R20
paper · pdf · doi:10.48550/arxiv.0906.3909
Fixed a sign issue in section 4. Final version to appear in Houston Journal of Mathematics
arxiv created 2011/02/03 · arxiv updated 2011/02/04
We formulate and prove a formula for transgressing characteristic forms in general associated bundles following a method of Chern. As applications, we derive D. Johnson's explicit formula for such general transgression and Chern's first transgression formula for the Euler class.