Characteristic classes associated to Q-bundles
| dc.creator | Kotov, Alexei | |
| dc.creator | Strobl, Thomas | |
| dc.date | 2007-11-26 | |
| dc.date.accessioned | 2026-07-07T12:10:26Z | |
| dc.date.available | 2026-07-07T12:10:26Z | |
| dc.description | A Q-manifold is a graded manifold endowed with a vector field of degree one squaring to zero. We consider the notion of a Q-bundle, that is, a fiber bundle in the category of Q-manifolds. To each homotopy class of ``gauge fields'' (sections in the category of graded manifolds) and each cohomology class of a certain subcomplex of forms on the fiber we associate a cohomology class on the base. Any principal bundle yielding canonically a Q-bundle, this construction generalizes Chern-Weil classes. Novel examples include cohomology classes that are locally the de Rham differential of the integrands of topological sigma models obtained by the AKSZ-formalism in arbitrary dimensions. For Hamiltonian Poisson fibrations one obtains a characteristic 3-class in this manner. We also relate to equivariant cohomology and Lecomte's characteristic classes of exact sequences of Lie algebras. | |
| dc.description | 23 pages, LaTeX, uses diagrams.sty | |
| dc.identifier | https://arxiv.org/abs/0711.4106 | |
| dc.identifier | http://arxiv.org/abs/0711.4106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209934 | |
| dc.subject | Differential Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | 58A50; 55R10; 57R20; 81T13; 81T45 | |
| dc.title | Characteristic classes associated to Q-bundles | |
| dc.type | text |