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math.KT2020
Derived Poincaré-Birkhoff-Witt theorems (with an appendix by Vladimir Dotsenko)
Anton Khoroshkin, Pedro Tamaroff
We define derived Poincaré--Birkhoff--Witt maps of dg operads or derived PBW maps, for short, which extend the definition of PBW maps between operads of V.~Dotsenko and the second…
math.KT2020★ 2 cited
Homotopical rigidity of the pre-Lie operad
Vladimir Dotsenko, Anton Khoroshkin
We show that the celebrated operad of pre-Lie algebras is very rigid: it has no "non-obvious" degrees of freedom from either of the three points of view: deformations of maps to an…