Homotopy equivalence of shifted cotangent bundles
Résumé
Given a bundle of chain complexes, the algebra of functions on its shifted cotangent bundle has a natural structure of a shifted Poisson algebra. We show that if two such bundles are homotopy equivalent, the corresponding Poisson algebras are homotopy equivalent. We apply this result to L ∞-algebroids to show that two homotopy equivalent bundles have the same L ∞-algebroid structures.
Origine : Fichiers produits par l'(les) auteur(s)
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