H-twisted Lie algebroids
Differential Geometry
2010-11-30 v4 Symplectic Geometry
Abstract
We define a new kind of algebroid which fulfills a Leibniz rule, a Jacobi identity twisted by a 3-form with values in the kernel of the anchor map, and the twist is closed under a naturally occurring exterior covariant derivative. We give examples and define three kinds of cohomology two via realization as Q-structure on graded manifolds. This classifies PQ3-manifolds.
Cite
@article{arxiv.1005.5680,
title = {H-twisted Lie algebroids},
author = {Melchior Grutzmann},
journal= {arXiv preprint arXiv:1005.5680},
year = {2010}
}
Comments
18 pages, improvements due to the referee, to appear in Journal of Geometry and Physics