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Twisted Fourier-Mukai transforms and bundles on non-Kähler elliptic surfaces

Twisted Fourier-Mukai transforms and bundles on non-Kähler elliptic surfaces

In this paper, we study holomorphic rank-2 vector bundles on non-Kähler elliptic surfaces.Our main tool for analysing these bundles is of course the spectral cover.However, given the non-Kähler condition, the elliptic surfaces we are considering do not have sections and gerbes naturally arise in this context.The spectral construction presented in …