Complex manifolds as families of homotopy algebras
Résumé
We prove an equivalence of categories from formal complex structures with formal holomorphic maps to homotopy algebras over a simple operad with its associated homotopy morphisms. We extend this equivalence to complex manifolds. A complex structure on a smooth manifold corresponds in this way to a family of algebras indexed by the points of the manifold.
Origine : Fichiers produits par l'(les) auteur(s)
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