Morse-type integrals on non-Kähler manifolds

Abstract

We pose a conjecture about Morse-type integrals in nef (1,1) classes on compact Hermitian manifolds, and we show that it holds for semipositive classes, or when the manifold admits certain special Hermitian metrics.

arXiv comment11 pages; to appear in Pure Applied Math Quarterly's special issue for D.H. Phong's 65th birthday

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