Modular classes of Q-manifolds: a review and some applications
Bruce, Andrew James
Differential Geometry
Mathematical Physics
Quantum Algebra
Symplectic Geometry
17B66, 53D17, 57R20, 58A50
Original · 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∞-algebroids and higher Poisson manifolds.
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