Marion Boucrot

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math.KT2024

Homotopy theory of pre-Calabi-Yau morphisms

Marion Boucrot

In this article we study the homotopy theory of pre-Calabi-Yau morphisms, viewing them as Maurer-Cartan elements of an $L_{\infty}$ -algebra. We give two different notions of homoto…

math.KT2023

Morphisms of pre-Calabi-Yau categories and morphisms of cyclic $A_{\infty}$ -categories

Marion Boucrot

In this article we prove that there exists a relation between $d$ -pre-Calabi-Yau morphisms introduced by M. Kontsevich, A. Takeda and Y. Vlassopoulos and cyclic $A_{\infty}$ -morphi…

Homotopy theory of pre-Calabi-Yau morphisms

Morphisms of pre-Calabi-Yau categories and morphisms of cyclic A∞​-categories

Morphisms of pre-Calabi-Yau categories and morphisms of cyclic $A_{\infty}$ -categories