∞ - Algebras , Cartan Homotopies and Period Maps

نویسنده

  • MARCO MANETTI
چکیده

We prove that, for every compact Kähler manifold, the period map of its Kuranishi family is induced by a natural L∞-morphism. This implies, by standard facts about L∞-algebras, that the period map is a “morphism of deformation theories” and then commutes with all deformation theoretic constructions (e.g. obstructions).

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تاریخ انتشار 2006