From Hypercomplex to Holomorphic Symplectic Structures
Differential Geometry
2015-08-12 v1 High Energy Physics - Theory
Symplectic Geometry
Abstract
The notions of holomorphic symplectic structures and hypercomplex structures on Courant algebroids are introduced and then proved to be equivalent. These generalize hypercomplex triples and holomorphic symplectic 2-forms on manifolds respectively. Basic properties of such structures are established.
Cite
@article{arxiv.1302.2857,
title = {From Hypercomplex to Holomorphic Symplectic Structures},
author = {Wei Hong and Mathieu Stiénon},
journal= {arXiv preprint arXiv:1302.2857},
year = {2015}
}