Generalized Kaehler geometry of instanton moduli spaces

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 $\mu$-map in degree three.

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

References in corpus (1)

• Generalized geometry and the Hodge decomposition

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