@article{580078186ec14077bf1cff3704ecc87d,
title = "Morse-type integrals on non-K{\"a}hler 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.",
author = "S{\l}awomir Ko{\l}odziej and Valentino Tosatti",
note = "Funding Information: It is our pleasure to dedicate this work to Professor D.H. Phong on the occasion of his 65th birthday, in honor of his influence in Mathematics. We are also grateful to the referees for useful comments. The first-named author was partially supported by NCN grant 2017/27/B/ST1/01145. The secondnamed author was partially supported by NSF grants DMS-1610278 and DMS-1903147. This work was completed during the second-named author{\textquoteright}s visit to the Center for Mathematical Sciences and Applications at Harvard University, which he thanks for the hospitality. Funding Information: It is our pleasure to dedicate this work to Professor D.H. Phong on the occasion of his 65th birthday, in honor of his influence in Mathematics. We are also grateful to the referees for useful comments. The first-named author was partially supported by NCN grant 2017/27/B/ST1/01145. The second-named author was partially supported by NSF grants DMS-1610278 and DMS-1903147. This work was completed during the second-named author{\textquoteright}s visit to the Center for Mathematical Sciences and Applications at Harvard University, which he thanks for the hospitality. Publisher Copyright: {\textcopyright} 2021, International Press, Inc.. All rights reserved.",
year = "2021",
doi = "10.4310/PAMQ.2021.v17.n3.a6",
language = "English (US)",
volume = "17",
pages = "991--1004",
journal = "Pure and Applied Mathematics Quarterly",
issn = "1558-8599",
publisher = "International Press of Boston, Inc.",
number = "3",
}