4 papers
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…
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…
Endofunctors and Poincaré-Birkhoff-Witt theorems
Vladimir Dotsenko, Pedro Tamaroff
We determine what appears to be the bare-bones categorical framework for Poincaré-Birkhoff-Witt type theorems about universal enveloping algebras of various algebraic structures. O…
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…