English

On the $\pd$- and $\barpd$-Operators of a Generalized Complex Structure

Differential Geometry 2009-01-16 v2 Symplectic Geometry

Abstract

In this note, we prove that the \pd\pd- and \barpd\barpd-operators introduced by Gualtieri for a generalized complex structure coincide with the \bdees\bdees- and \bdel\bdel-operators introduced by Alekseev-Xu for Evens-Lu-Weinstein modules of a Lie bialgebroid.

Cite

@article{arxiv.0812.0422,
  title  = {On the $\pd$- and $\barpd$-Operators of a Generalized Complex Structure},
  author = {Zhuo Chen},
  journal= {arXiv preprint arXiv:0812.0422},
  year   = {2009}
}

Comments

15 pages

R2 v1 2026-06-21T11:47:24.080Z