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arXiv · 1705.03323

Modular classes of Q-manifolds: a review and some applications

Andrew James Bruce
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Abstract

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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Andrew James Bruce. 2017-05-09. Modular classes of Q-manifolds: a review and some applications. https://doi.org/10.5817/am2017-4-203

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