For every compact Kahler manifold we give a canonical extension of Griffith's period map to generalized deformations, intended as solutions of Maurer-Cartan equation in the algebra of polyvector fields. Our construction involves the notion of Cartan homotopy and a canonical L(infinity)-structure on mapping cones of morphisms of differential graded Lie algebras.
A period map for generalized deformations / Fiorenza, Domenico; Manetti, Marco. - In: JOURNAL OF NONCOMMUTATIVE GEOMETRY. - ISSN 1661-6952. - STAMPA. - 3:4(2009), pp. 579-597. [10.4171/jncg/47]
A period map for generalized deformations
FIORENZA, DOMENICO;MANETTI, Marco
2009
Abstract
For every compact Kahler manifold we give a canonical extension of Griffith's period map to generalized deformations, intended as solutions of Maurer-Cartan equation in the algebra of polyvector fields. Our construction involves the notion of Cartan homotopy and a canonical L(infinity)-structure on mapping cones of morphisms of differential graded Lie algebras.File allegati a questo prodotto
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