Transversal Hard Lefschetz theorem on transversely symplectic foliations

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URI: http://hdl.handle.net/10347/32297
DOI: 10.1093/qmath/haaa071

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2021-01-15

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Oxford University Press
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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.

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This is a pre-copyedited, author-produced version of an article accepted for publication in The Quarterly Journal of Mathematics following peer review. The version of record Jesús A Álvarez López, Seoung Dal Jung, Transversal Hard Lefschetz Theorem on Transversely Symplectic Foliations, The Quarterly Journal of Mathematics, Volume 72, Issue 4, December 2021, Pages 1235–1251 is available online at: https://doi.org/10.1093/qmath/haaa071

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Transversely symplectic foliation| Basic cohomology theory| Transversely symplectic harmonic form| Transversal hard Lefschetz theorem| Transversely Kähler foliation

Bibliographic citation

Álvarez López, J.A., S. Dal Jung, S. (2021). Transversal Hard Lefschetz theorem on transversely symplectic foliations. "Q. J. Math.", vol. 72, 1235-1251.

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FEDER/Ministerio de Ciencia, Innovación y Universidades/AEI/MTM2017-89686-P, Xunta de Galicia/2015 GPC GI-1574 [A.L]; National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (NRF-2018R1A2B2002046) [D.J.].

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