Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/181976
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dc.contributor.authorCirici, Joana-
dc.contributor.authorWilson, Scott O.-
dc.date.accessioned2021-12-23T08:08:02Z-
dc.date.issued2021-11-19-
dc.identifier.issn0001-8708-
dc.identifier.urihttp://hdl.handle.net/2445/181976-
dc.description.abstractThis paper extends Dolbeault cohomology and its surrounding theory to arbitrary almost complex manifolds. We define a spectral sequence converging to ordinary cohomology, whose first page is the Dolbeault cohomology, and develop a harmonic theory which injects into Dolbeault cohomology. Lie-theoretic analogues of the theory are developed which yield important calculational tools for Lie groups and nilmanifolds. Finally, we study applications to maximally non-integrable manifolds, including nearly Kähler-
dc.format.mimetypeapplication/pdf-
dc.language.isoeng-
dc.publisherElsevier B.V.-
dc.relation.isformatofReproducció del document publicat a: https://doi.org/10.1016/j.aim.2021.107970-
dc.relation.ispartofAdvances in Mathematics, 2021, vol. 391-
dc.relation.urihttps://doi.org/10.1016/j.aim.2021.107970-
dc.rightscc-by (c) Cirici, Joana et al., 2021-
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)-
dc.subject.classificationVarietats complexes-
dc.subject.classificationGeometria diferencial global-
dc.subject.classificationHomologia-
dc.subject.otherComplex manifolds-
dc.subject.otherGlobal differential geometry-
dc.subject.otherHomology-
dc.titleDolbeault cohomology for almost complex manifolds-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.identifier.idgrec714851-
dc.date.updated2021-12-23T08:08:03Z-
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess-
Appears in Collections:Articles publicats en revistes (Matemàtiques i Informàtica)

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