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math.AT2026
Properadic coformality of spheres
Coline Emprin, Alex Takeda
We define a properad that encodes -pre-Calabi--Yau algebras with vanishing copairing. These algebras include chains on the based loop space of any space end…
math.AT2025
Obstruction sequences to homotopy equivalences
Coline Emprin
We develop an obstruction theory for the existence of gauge equivalences in complete differential graded Lie algebras. Specifically, this theory provides a characterization of homo…