Generalized Kähler Geometry of Instanton Moduli Spaces
Abstract
We prove that Hitchin's generalized Kähler structure on the moduli space of instantons over a compact, even generalized Kähler fourmanifold 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 μmap in degree three.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 January 2015
 DOI:
 10.1007/s0022001421702
 arXiv:
 arXiv:1203.2385
 Bibcode:
 2015CMaPh.333..831B
 Keywords:

 Mathematics  Differential Geometry;
 High Energy Physics  Theory;
 Mathematics  Symplectic Geometry;
 53D18;
 53D20;
 53C07
 EPrint:
 31 pages, 4 figures