Reference : Modular classes of Q-manifolds: a review and some applications
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Modular classes of Q-manifolds: a review and some applications
Bruce, Andrew mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Archivum Mathematicum
[en] Q-manifolds ; modular classes ; characteristic classes
[en] 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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