On transgression in associated bundles

Details On transgression in associated bundles On transgression in associated bundles

2009-06-22

arxiv.org/abs/0906.3909v3

Mathematics

Differential Geometry

Fixed a sign issue in section 4. Final version to appear in Houston Journal of Mathematics

Scientific paper

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.

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