Symplectic spinor valued forms and invariant operators acting between them
Differential Geometry
2015-11-17 v1 Representation Theory
Symplectic Geometry
Abstract
Exterior differential forms with values in the (Kostant's) symplectic spinor bundle on a manifold with a given metaplectic structure are decomposed into invariant subspaces. Projections to these invariant subspaces of a covariant derivative associated to a torsion-free symplectic connection are described.
Cite
@article{arxiv.1304.0544,
title = {Symplectic spinor valued forms and invariant operators acting between them},
author = {Svatopluk Krýsl},
journal= {arXiv preprint arXiv:1304.0544},
year = {2015}
}
Comments
12 pages, 1 figure