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A Frölicher-type inequality for generalized complex manifolds

Published 7 Mar 2014 in math.DG and math.SG | (1403.1682v3)

Abstract: We prove a Fr\"olicher-type inequality for a compact generalized complex manifold $M$, and show that the equality holds if and only if $M$ satisfies the generalized $\partial\bar{\partial}$-Lemma. In particular, this gives a unified proof of analogous results in the complex and symplectic cases.

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