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. Kotov, T. Strobl
  • Published 26 November 2007
  • Mathematics
  • International Journal of Geometric Methods in Modern Physics
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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