Homogeneous spaces, multi-moment maps and (2,3)-trivial algebras
Differential Geometry
2015-05-20 v1 High Energy Physics - Theory
Abstract
For geometries with a closed three-form we briefly overview the notion of multi-moment maps. We then give concrete examples of multi-moment maps for homogeneous hypercomplex and nearly Kaehler manifolds. A special role in the theory is played by Lie algebras with second and third Betti numbers equal to zero. These we call (2,3)-trivial. We provide a number of examples of such algebras including a complete list in dimensions up to and including five.
Keywords
Cite
@article{arxiv.1012.0402,
title = {Homogeneous spaces, multi-moment maps and (2,3)-trivial algebras},
author = {Thomas Bruun Madsen and Andrew Swann},
journal= {arXiv preprint arXiv:1012.0402},
year = {2015}
}