Chern-simons forms on associated bundles, and boundary terms

Details Chern-simons forms on associated bundles, and boundary terms Chern-simons forms on associated bundles, and boundary terms

2006-01-09

arxiv.org/abs/math/0601182v1

Mathematics

Differential Geometry

15 pages, no figures, AMS-LaTeX

Scientific paper

Let $E$ be a principle bundle over a compact manifold $M$ with compact structural group $G$. For any $G$-invariant polynomial $P$, The transgressive forms $TP(\omega)$ defined by Chern and Simons are shown to extend to forms $\Phi P(\omega)$ on associated bundles $B$ with fiber a quotient $F=G/H$ of the group. These forms satisfy a heterotic formula $$d\Phi P(\omega)=P(\Omega)-P(\Psi),$$ relating the characteristic form $P(\Omega)$ to a fiber-curvature characteristic form. For certain natural bundles $B$, $P(\Psi)=0$, giving a true transgressive form on the associated bundle, which leads to the standard obstruction properties of characteristic classes as well as natural expressions for boundary terms.

Affiliated with

Also associated with

No associations

Rating

Chern-simons forms on associated bundles, and boundary terms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Chern-simons forms on associated bundles, and boundary terms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chern-simons forms on associated bundles, and boundary terms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-683996