A Frölicher-type inequality for generalized complex manifolds

Abstract

We prove a Frölicher-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.

10 pages; v3: minor modifications; to appear in AGAG