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arXiv · 1203.2385

Generalized Kaehler geometry of instanton moduli spaces

Henrique Bursztyn·Gil R. Cavalcanti·Marco Gualtieri
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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.

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Henrique Bursztyn, Gil R. Cavalcanti, Marco Gualtieri. 2012-03-11. Generalized Kaehler geometry of instanton moduli spaces. https://doi.org/10.1007/s00220-014-2170-2

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