Donaldson's $Q$-operators for symplectic manifolds

Abstract

We prove an estimate for Donaldson's $Q$-operator on a prequantized compact symplectic manifold. This estimate is an ingredient in the recent result of Keller and Lejmi about a symplectic generalization of Donaldson's lower bound for the $L^2$-norm of the Hermitian scalar curvature.

10 pages. To appear in Sci. China Math., 2017, Vol. 60

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