Transversal hard Lefschetz theorem on transversely symplectic foliations

2019/10/21 by López, Jesús A. Álvarez, Jung, Seoung Dal
#53C12 #53C27 #57R30 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1910.09263

Abstract

We study the transversal hard Lefschetz theorem on a transversely symplectic foliation. This article extends the results of transversally symplectic flows (H.K.~Pak, "Transversal harmonic theory for transversally symplectic flows", J. Aust. Math. Soc. 84 (2008), 233--245) to the general transversely symplectic foliation.

Related

• Hodge theory on transversely symplectic foliations
• Basic Kirwan injectivity and its applications
• Transversality and Lefschetz numbers for foliation maps
• The basic dd^J-lemma
• Transversality problems in symplectic field theory and a new Fredholm theory