Transversal Hard Lefschetz Theorem on Transversely Symplectic Foliations

Transversal Hard Lefschetz Theorem on Transversely Symplectic Foliations

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 general transver...

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Veröffentlicht in:Quarterly journal of mathematics 2021-12, Vol.72 (4), p.1235-1251
Hauptverfasser: Álvarez López, Jesús A, Jung, Seoung Dal
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
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Zusammenfassung: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 general transversely symplectic foliations.
ISSN:0033-5606
1464-3847
DOI:10.1093/qmath/haaa071