Maximal ideals in the Lie algebra of vector fields
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Modular classes of Q-manifolds: a review and some applications
Andrew James Bruce (2017)
Archivum Mathematicum
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 -algebroids and higher Poisson manifolds.
Modular Classes of Q-Manifolds, Part II: Riemannian Structures Odd Killing Vectors Fields
Andrew James Bruce (2020)
Archivum Mathematicum
We define and make an initial study of (even) Riemannian supermanifolds equipped with a homological vector field that is also a Killing vector field. We refer to such supermanifolds as Riemannian Q-manifolds. We show that such Q-manifolds are unimodular, i.e., come equipped with a Q-invariant Berezin volume.
Multiparameter quantum function algebra at roots of 1.
M. Costantini, M. Varagnolo (1996)
Mathematische Annalen
Currently displaying 1 – 4 of 4
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