Lie-algebra Dolbeault-cohomology and small deformations of nilmanifolds
نویسندگان
چکیده
منابع مشابه
Dolbeault Cohomology and Deformations of Nilmanifolds
In these notes I review some classes of invariant complex structures on nilmanifolds for which the Dolbeault cohomology can be computed by means of invariant forms, in the spirit of Nomizu’s theorem for de Rham cohomology. Moreover, deformations of complex structures are discussed. Small deformations remain in some cases invariant, so that, by Kodaira-Spencer theory, Dolbeault cohomology can be...
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Introduction. In an address to the Society in 1962, one of the authors gave an outline of the similarities between the deformations of complex-analytic structures on compact manifolds on one hand, and the deformations of associative algebras on the other. The first theory had been stimulated in 1957 by a paper [7] by NijenhuisFrölicher and extensively developed in a series of papers by KodairaS...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2009
ISSN: 0024-6107
DOI: 10.1112/jlms/jdn076