Chern-simons forms on associated bundles, and boundary terms
| dc.creator | Johnson, David L. | |
| dc.date | 2006-01-09 | |
| dc.date.accessioned | 2026-07-07T06:58:40Z | |
| dc.date.available | 2026-07-07T06:58:40Z | |
| dc.description | 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 $TP(ω)$ defined by Chern and Simons are shown to extend to forms $ΦP(ω)$ on associated bundles $B$ with fiber a quotient $F=G/H$ of the group. These forms satisfy a heterotic formula $$dΦP(ω)=P(Ω)-P(Ψ),$$ relating the characteristic form $P(Ω)$ to a fiber-curvature characteristic form. For certain natural bundles $B$, $P(Ψ)=0$, 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. | |
| dc.description | 15 pages, no figures, AMS-LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0601182 | |
| dc.identifier | http://arxiv.org/abs/math/0601182 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107448 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C05, 57R20 | |
| dc.title | Chern-simons forms on associated bundles, and boundary terms | |
| dc.type | text |