Publication: On non-formality of a simply-connected symplectic 8-manifold.
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Publication Date
2008
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American Institute of Physics
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Abstract
We show an alternative construction of the first example of a simply-connected compact symplectic non-formal 8-manifold given in [6].We also give an alternative proof of its non-formality using higher order Massey products.
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Fall workshop on geometry and physics (16. Lisbon, Portugal. 2007)
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I.K. Babenko, and I.A. Taimanov, On non-formal simply connected symplectic manifolds, Siberian Math. J. 41, 204–217 (2000).
I.K. Babenko, and I.A. Taimanov, Massey products in symplectic manifolds, Sb. Math. 191, 1107–1146 (2000).
I.K. Babenko, and I.A. Taimanov, On existence of non-formal simply connected symplectic manifolds,Russian Math. Surveys 53, 1082–1083 (1998).
G. Cavalcanti, M. Fernández, and V. Muñoz, Symplectic resolutions, Lefschetz property and formality,Advances in Math. To appear.
P. Deligne, P. Griffiths, J. Morgan, and D. Sullivan, Real homotopy theory of Kähler manifolds,Invent. Math. 29, 245–274 (1975).
M. Fernández, and V. Muñoz, An 8-dimensional non-formal simply connected symplectic manifold,Annals of Math. (2). To appear.
A.I. Mal’cev, A class of homogeneous spaces, Amer. Math. Soc. Transl. 39 (1951).
W.S. Massey, Some higher order cohomology operations, Int. Symp. Alg. Top. Mexico, 145–154 (1958).
K. Nomizu, On the cohomology of compact homogeneous spaces of nilpotent Lie groups, Annals of Math. (2) 59, 531–538 (1954).
Y. Rudyak, and A. Tralle, Thom spaces, Massey products and nonformal symplectic manifolds,Internat. Math. Res. Notices 10, 495–513 (2000).
A. Tralle, and J. Oprea, Symplectic manifolds with no Kähler structure, Lecture Notes in Math. 1661,Springer–Verlag, 1997.