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math.KT2020
Differential forms on smooth operadic algebras
Ricardo Campos, Pedro Tamaroff
The classical Hochschild--Kostant--Rosenberg (HKR) theorem computes the Hochschild homology and cohomology of smooth commutative algebras. In this paper, we generalise this result…
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.KT2018
Minimal models for monomial algebras
Pedro Tamaroff
Using combinatorics of chains going back to works of Anick, Green, Happel and Zacharia, we give, for any monomial algebra , an explicit description of its minimal model. This al…