Hodge structure on symplectic manifolds

Advances in Mathematics

Volumn 120, Issue 1, 1996, Pages 143-154

  Yan, Dong ^a  

^a STONY BROOK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030163477     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1996.0034     Document Type: Article

References (13)

1. [B] J. L. BRYLINSKI, A differential complex for Poisson Manifolds, J. Differential Geometry 28 (1988), 93-114.
2. [BG] C. BENSON AND C. GORDON, Kähler and symplectic structures on nilmanifolds, Topology 27 (1988), 513-518.
3. [Bo] N. BOURBAKI, Groupes et algèbres de Lie, Chapitres 7 et 8, Herman, Paris.
4. [FGG] M. FERNÁNDEZ, M. GOTAY, AND A. GRAY, Compact parallelizable four dimensional symplectic and complex manifolds, Proc. Amer. Math. Soc. 103 (1988), 1209-1212.
5. [Gm] R. GOMPF, A new construction of symplectic manifolds, Preprint.
6. [G] P. GRIFFITHS AND J. HARRIS, Principles of Algebraic Geometry, John Wiley & Sons, New York, Toronto, 1978.
7. [H] K. HASEGAWA, Minimal models of nilmanifolds, Proc. Amer. Math. Soc. 106 (1989), 67-71.
8. [JR] F. JOHNSON AND E. REES, On the fundamental group of a complex algebraic manifold, Bull. London Math. Soc. 19 (1987), 463-466.
9. [K] K. KODAIRA, On the structure of compact complex analytic surfaces, Amer. J. Math. 86 (1964), 751-798.
10. [M] O. MATHIEU, Harmonic cohomology classes of symplectic manifolds, Comment. Math. Helv., to appear.
11. [Mc] D. MCDUFF, Examples of simply-connected symplectic non-Kählerian manifolds, J. Differential Geometry 20 (1984), 267-277.
12. [T] W. THURSTON, Some simple examples of symplectic manifolds, Proc. Amer. Math. Soc. 55 (1976), 467-468.
13. [Y] D. YAN, Yang-Mills theory on symplectic manifolds, Ph.D. thesis, University of California, Berkeley, 1995.