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Morse-type integrals on non-K\"ahler manifolds

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arxiv 1906.09614 v1 pith:LIWSQTMR submitted 2019-06-23 math.CV math.DG

Morse-type integrals on non-K\"ahler manifolds

classification math.CV math.DG
keywords classeshermitianintegralsmanifoldsmorse-typeadmitsahlercertain
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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