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arXiv · 0808.0140

A period map for generalized deformations

Domenico Fiorenza·Marco Manetti
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Abstract

For every compact Kaehler 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.

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Domenico Fiorenza, Marco Manetti. 2008-08-01. A period map for generalized deformations. https://arxiv.org/abs/0808.0140

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