Generalized Kaehler geometry of instanton moduli spaces
Differential Geometry
2023-05-26 v2 High Energy Physics - Theory
Symplectic Geometry
Abstract
We prove that Hitchin's generalized Kaehler structure on the moduli space of instantons over a compact, even generalized Kaehler four-manifold may be obtained by generalized Kaehler reduction, in analogy with the usual Kaehler case. The underlying reduction of Courant algebroids is a realization of Donaldson's -map in degree three.
Keywords
Cite
@article{arxiv.1203.2385,
title = {Generalized Kaehler geometry of instanton moduli spaces},
author = {Henrique Bursztyn and Gil R. Cavalcanti and Marco Gualtieri},
journal= {arXiv preprint arXiv:1203.2385},
year = {2023}
}
Comments
31 pages, 4 figures; V2: We relate the Severa class of the reduced Courant algebroid with Donaldson's mu-map; determine the type of the generalized complex structures on the moduli space of instantons; give an example on the Hopf surface