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Lefschetz decomposition for de Rham cohomology on weakly Lefschetz symplectic manifolds

Lefschetz decomposition for de Rham cohomology on weakly Lefschetz symplectic manifolds
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摘要 For a compact symplectic manifold which is s-Lefschetz which is weaker than the decomposition for de hard Lefschetz property, we prove that the Lefschetz Rham cohomology also holds. For a compact symplectic manifold which is s-Lefschetz which is weaker than the decomposition for de hard Lefschetz property, we prove that the Lefschetz Rham cohomology also holds.
出处 《Frontiers of Mathematics in China》 SCIE CSCD 2015年第5期1169-1178,共10页 中国高等学校学术文摘·数学(英文)
基金 Acknowledgements The authors were very grateful to their advisor Prof. Hongyu Wang for discussion and suggestions. This work was supported in part by the National Natural Science Foundation of China (Grant Nos. 11371309, 11471145, 11401514), the University Science Research Project of Jiangsu Province (14KJB110027), and the Foundation of Yangzhou University (2014CXJ004).
关键词 Symplectic manifold s-Lefschetz Lefschetz decomposition s-dd-lemma Symplectic manifold, s-Lefschetz, Lefschetz decomposition,s-dd-lemma
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参考文献15

  • 1Brylinski J -L. A differential complex for Poisson manifolds. J Differential Geom, 1988, 28:93-114.
  • 2Cavalcanti G R. New aspects of the ddC-lemma. Ph D Thesis, Oxford Univ, 2005, axXiv: math/0501406vl.
  • 3Ehresmann C, Libermann P. Sur le problme dquivalence des formes diffrentielles ext&rieures quadratiques. C RAc Sci Paris, 1949, 229:697-698.
  • 4Fernandez 1VI, Mufioz V, Ugarte L. The dS-'lemma for weakly Lefschetz symplectic manifolds. In: Differential Geometry and Its Applications. Prague: Matfyzpress, 2005, 229-246.
  • 5Fernxldez M, Mufioz V, Ugarte L. Weakly Lefschetz symplectic manifolds. Trans Amer Math Soc, 2007, 359:1851-1873.
  • 6Gompf R. A new construction of symplectic manifolds. Ann Math, 1995, 142:527-597.
  • 7Griffiths P, Harris J. Principles of Algebraic Geometry. New York: John Wiley and Sons, 1978.
  • 8Guillemin V. Symplectic Hodge theory and the dS-lemma. Preprint, 2001.
  • 9Guillemin V. Hodge theory, http://math.mit.edu/vwg/shlomo-notes.pdf, 1997.
  • 10Lin Y. Currents, primitive cohomology classes and symplectic Hodge theory. 2011, arXiv: math/ll12.2442vl.

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