3 papers
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 -algebra. We give two different notions of homoto…
math.AT2023
Homotopy Transfer Theorem and minimal models for pre-Calabi-Yau categories
Marion Boucrot
In this article, we extend results of J. Leray and B. Vallette on homotopical properties of pre-Calabi-Yau algebras to the case of pre-Calabi-Yau categories. We give direct proofs…
math.KT2023
Morphisms of pre-Calabi-Yau categories and morphisms of cyclic -categories
Marion Boucrot
In this article we prove that there exists a relation between -pre-Calabi-Yau morphisms introduced by M. Kontsevich, A. Takeda and Y. Vlassopoulos and cyclic -morphi…