Generalized Kähler Geometry of Instanton Moduli Spaces
Publication date
2015-01
Authors
Bursztyn, Henrique
Gualtieri, Marco
Cavalcanti, Gil R.
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Document Type
Article
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Abstract
We prove that Hitchin’s generalized Kähler structure on the moduli space of instantons over a compact, even generalized Kähler four-manifold may be obtained by generalized Kähler reduction, in analogy with the usual Kähler case. The underlying reduction of Courant algebroids is a realization of Donaldson’s μ-map in degree three.
Keywords
Modulus Space, Gauge Action, Courant Bracket, Generalize Complex Structure, Courant Algebroid, Taverne, Geometry and Topology
Citation
Bursztyn, H, Gualtieri, M & Cavalcanti, G R 2015, 'Generalized Kähler Geometry of Instanton Moduli Spaces', Communications in Mathematical Physics, vol. 333, no. 2, pp. 831-860. https://doi.org/10.1007/s00220-014-2170-2