Geometry of non-Hermitian Yang--Mills moduli spaces

Abstract

We study the moduli space of non-Hermitian Yang--Mills connections over a compact Kähler manifold. Using normalized harmonic metrics, we construct a natural Hermitian metric on the unobstructed locus and show that, near the Hermitian locus, the unobstructed locus carries an almost hypercomplex structure which is compatible with the associated Riemannian metric.

arXiv comment17 pages