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math.AT2023
Weight decompositions on algebraic models for mapping spaces and homotopy automorphisms
Joana Cirici, Bashar Saleh
We obtain restrictions on the rational homotopy types of mapping spaces and of classifying spaces of homotopy automorphisms by means of the theory of positive weight decompositions…
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Formality of hypercommutative algebras of Kähler and Calabi-Yau manifolds
Joana Cirici, Geoffroy Horel
Any Batalin-Vilkovisky algebra with a homotopy trivialization of the BV-operator gives rise to a hypercommutative algebra structure at the cochain level which, in general, contains…