11 citations · 33 across the 10 of their papers we have counts for
10 papers
Generalized cohomological field theories in the higher order formalism
Vladimir Dotsenko, Sergey Shadrin, Pedro Tamaroff
In the classical Batalin--Vilkovisky formalism, the BV operator is a differential operator of order two with respect to the commutative product. In the differential graded sett…
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…
Tangent complexes and the Diamond Lemma
Vladimir Dotsenko, Pedro Tamaroff
The celebrated Diamond Lemma of Bergman gives an effectively verifiable criterion of uniqueness of normal forms for term rewriting in associative algebras. We present a new way to…
A spectral sequence for tangent cohomology of algebras over algebraic operads
José Moreno-Fernández, Pedro Tamaroff
Operadic tangent cohomology generalizes the existing cohomology theories of Chevalley--Eilenberg, Hochschild, and Harrison to address the deformation theory of general types of alg…
The cohomology of coalgebras in species
Pedro Tamaroff
Aguiar and Mahajan introduced a cohomology theory for the twisted coalgebras of Joyal, with particular interest in the computation of their second cohomology group, which gives ris…
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…
Finite generation for Hochschild cohomology of Gorenstein monomial algebras
Vladimir Dotsenko, Vincent Gélinas, Pedro Tamaroff
We show that a finite dimensional monomial algebra satisfies the finite generation conditions of Snashall-Solberg for Hochschild cohomology if and only if it is Gorenstein. This gi…
The Tamarkin--Tsygan calculus of an algebra a la Stasheff
Pedro Tamaroff
We show how to compute the Tamarkin-Tsygan calculus of an associative algebra by providing, for a given cofibrant replacement of it, a `small' -model of its c…
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…