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Keywords:
Q-manifolds; modular classes; characteristic classes; higher Poisson manifolds; $L_{\infty }$-algebroids
Q-manifolds; modular classes; characteristic classes; higher Poisson manifolds; $L_{\infty }$-algebroids
Summary:
A Q-manifold is a supermanifold equipped with an odd vector field that squares to zero. The notion of the modular class of a Q-manifold – which is viewed as the obstruction to the existence of a Q-invariant Berezin volume – is not well know. We review the basic ideas and then apply this technology to various examples, including $L_{\infty}$-algebroids and higher Poisson manifolds.
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