# Characteristic classes associated to Q-bundles

@article{Kotov2007CharacteristicCA, title={Characteristic classes associated to Q-bundles}, author={Alexei Kotov and Thomas Strobl}, journal={International Journal of Geometric Methods in Modern Physics}, year={2007}, volume={12}, pages={1550006} }

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…

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