Vector bundles on non-Kahler Calabi-Yau type 3-folds

We study moduli of relatively semi-stable vector bundles on non-Kahler principal elliptic bundles, which are Calabi-Yau type 3-folds. The main technical tools used are the twisted Fourier-Mukai transform and a spectral cover construction (joint work with A. Halanay and G. Trautmann).