Strongly homotopy algebras of a Kähler manifold
نویسنده
چکیده
It is shown that any compact Kähler manifold M gives canonically rise to two strongly homotopy algebras, the first one being associated with the Hodge theory of the de Rham complex and the second one with the Hodge theory of the Dolbeault complex. In these algebras the product of two harmonic differential forms is again harmonic. If M happens to be a Calabi-Yau manifold, there exists a third strongly homo-topy algebra closely related to the Barannikov-Kontsevich extended moduli space of complex structures.
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تاریخ انتشار 1999