# Graded Manifolds and Drinfeld Doubles for Lie Bialgebroids

@inproceedings{Voronov2001GradedMA, title={Graded Manifolds and Drinfeld Doubles for Lie Bialgebroids}, author={Theodore Th. Voronov}, year={2001} }

We define graded manifolds as a version of supermanifolds endowed with an extra Z-grading in the structure sheaf, called weight (not linked
with parity). Examples are ordinary supermanifolds, vector bundles, double
vector bundles (in particular, iterated constructions like TTM), etc. I give
a construction of doubles for graded QS- and graded QP-manifolds (graded
manifolds endowed with a homological vector field and a Schouten/Poisson
bracket). Relation is explained with Drinfeld's Lie…

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