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

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

2008-12-02

arxiv.org/abs/0812.0422v2

Mathematics

Differential Geometry

15 pages

Scientific paper

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

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