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- W2103310407 abstract "A Q-manifold is a graded manifold endowed with a vector field of degree 1 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. As any principal bundle yields canonically a Q-bundle, this construction generalizes Chern–Weil classes. Novel examples include cohomology classes that are locally 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 the framework to equivariant cohomology and Lecomte's characteristic classes of exact sequences of Lie algebras." @default.
- W2103310407 created "2016-06-24" @default.
- W2103310407 creator A5026655393 @default.
- W2103310407 creator A5090202257 @default.
- W2103310407 date "2014-12-28" @default.
- W2103310407 modified "2023-10-11" @default.
- W2103310407 title "Characteristic classes associated to Q-bundles" @default.
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- W2103310407 doi "https://doi.org/10.1142/s0219887815500061" @default.
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