Hodge theory for twisted differentials

Published 15 Jul 2014 in math.DG and math.CV | (1407.3928v1)

Abstract: We study cohomologies and Hodge theory for complex manifolds with twisted differentials. In particular, we get another cohomological obstruction for manifolds in class $\mathcal{C}$ of Fujiki. We give a Hodge-theoretical proof of the characterization of solvmanifolds in class $\mathcal{C}$ of Fujiki, first proven by D. Arapura.

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