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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…
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…
Weight structures and formality
Coline Emprin, Geoffroy Horel
This is a survey on formality results relying on weight structures. A weight structure is a naturally occurring grading on certain differential graded algebras. If this weight sati…
Kaledin classes and formality criteria
Coline Emprin
We develop a general obstruction theory to the formality of algebraic structures over any commutative ground ring. It relies on the construction of Kaledin obstruction classes that…
A prop structure on partitions
Coline Emprin, Dana Hunter, Muriel Livernet +2
Motivated by its link with functor homology, we study the prop freely generated by the operadic suspension of the operad Com. We exhibit a particular family of generators, for whic…