Formality in generalized Kähler geometry
We prove that no nilpotent Lie algebra admits an invariant generalized Kahler structure. This is done by showing that a certain differential graded algebra associated to a generalized complex manifold is formal in the generalized Kahler case, while it is never formal for a generalized complex struct...
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| Format: | Journal article |
| Language: | English |
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Elsevier
2007
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| _version_ | 1826280287153160192 |
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| author | Cavalcanti, G |
| author_facet | Cavalcanti, G |
| author_sort | Cavalcanti, G |
| collection | OXFORD |
| description | We prove that no nilpotent Lie algebra admits an invariant generalized Kahler structure. This is done by showing that a certain differential graded algebra associated to a generalized complex manifold is formal in the generalized Kahler case, while it is never formal for a generalized complex structure on a nilpotent Lie algebra. |
| first_indexed | 2024-03-07T00:11:26Z |
| format | Journal article |
| id | oxford-uuid:795e5d7e-3fd7-48ae-a104-5c7213683eec |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:11:26Z |
| publishDate | 2007 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:795e5d7e-3fd7-48ae-a104-5c7213683eec2022-03-26T20:36:56ZFormality in generalized Kähler geometryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:795e5d7e-3fd7-48ae-a104-5c7213683eecAlgebraic topologyEnglishOxford University Research Archive - ValetElsevier2007Cavalcanti, GWe prove that no nilpotent Lie algebra admits an invariant generalized Kahler structure. This is done by showing that a certain differential graded algebra associated to a generalized complex manifold is formal in the generalized Kahler case, while it is never formal for a generalized complex structure on a nilpotent Lie algebra. |
| spellingShingle | Algebraic topology Cavalcanti, G Formality in generalized Kähler geometry |
| title | Formality in generalized Kähler geometry |
| title_full | Formality in generalized Kähler geometry |
| title_fullStr | Formality in generalized Kähler geometry |
| title_full_unstemmed | Formality in generalized Kähler geometry |
| title_short | Formality in generalized Kähler geometry |
| title_sort | formality in generalized kahler geometry |
| topic | Algebraic topology |
| work_keys_str_mv | AT cavalcantig formalityingeneralizedkahlergeometry |