On non-formality of a simply-connected symplectic 8-manifold.

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dc.book.titleGeometry and physics. XVI international fall workshop,Lisbon, Portugal, September 5–8, 2007
dc.contributor.authorCavalcanti, Gil R.
dc.contributor.authorFernandez, Marisa
dc.contributor.authorMuñoz, Vicente
dc.contributor.editorFernandes, Rui Loja
dc.contributor.editorPicken, Roger
dc.date.accessioned2023-06-20T13:39:24Z
dc.date.available2023-06-20T13:39:24Z
dc.date.issued2008
dc.descriptionFall workshop on geometry and physics (16. Lisbon, Portugal. 2007)
dc.description.abstractWe 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.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipEPSRC
dc.description.sponsorshipMCyT
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/21349
dc.identifier.doi10.1063/1.2958181
dc.identifier.isbn978-0-7354-0546-2
dc.identifier.officialurlhttp://proceedings.aip.org/resource/2/apcpcs/1023/1/82_1?isAuthorized=no
dc.identifier.urihttps://hdl.handle.net/20.500.14352/53239
dc.issue.number1023
dc.language.isoeng
dc.page.final92
dc.page.initial82
dc.page.total216
dc.publication.placeMelville, New York
dc.publisherAmerican Institute of Physics
dc.relation.ispartofseriesAIP conference proceedings
dc.relation.projectIDMTM2005-08757-C04-0
dc.relation.projectIDMTM2004-07090-C03-01
dc.rights.accessRightsopen access
dc.subject.cdu514
dc.subject.cdu515.1
dc.subject.keywordGometry
dc.subject.keywordLie algebras
dc.subject.keywordMatrix algebra
dc.subject.ucmGeometría
dc.subject.ucmTopología
dc.subject.unesco1204 Geometría
dc.subject.unesco1210 Topología
dc.titleOn non-formality of a simply-connected symplectic 8-manifold.
dc.typebook part
dcterms.referencesI.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.
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