Journal article

Formality in generalized Kähler geometry

Abstract:: 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.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Cavalcanti, G. (2007). Formality in generalized Kähler geometry. Topology and Its Applications, 154(6), 1119–1125.

MLA Style

Cavalcanti, G. “Formality in Generalized Kähler Geometry.” Topology and Its Applications, Publisher's version, vol. 154, no. 6, Elsevier, 2007, pp. 1119–25.

Chicago Style

Cavalcanti, G. 2007. “Formality in Generalized Kähler Geometry.” Topology and Its Applications 154 (6): 1119–25.
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Files:: Formality-in-generalized-K-hler-geometry_2007_Topology-and-its...

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Publisher copy:: 10.1016/j.topol.2006.11.002

Authors

+ Cavalcanti, G More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Engineering and Physical Sciences Research Council More from this funder

Publisher:: Elsevier
Journal:: Topology and its Applications More from this journal
Volume:: 154
Issue:: 6
Pages:: 1119–1125
Publication date:: 2007-03-01
Edition:: Publisher's version
DOI:: 10.1016/j.topol.2006.11.002
ISSN:: 0166-8641

Language:: English
Keywords:: nilmanifolds

generalized Kahler

formality
Subjects:: Algebraic topology
UUID:: uuid:795e5d7e-3fd7-48ae-a104-5c7213683eec
Local pid:: ora:10772
Deposit date:: 2015-03-31

Terms of use

Copyright holder:: Elsevier BV
Copyright date:: 2006
Notes:: Copyright 2006 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/

Licence:: Other

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