130 citations · 173 across the 18 of their papers we have counts for
22 papers
Symplectic wheelgebras and noncommutative geometry
David Fernández, Estanislao Herscovich
In this article, we explore the following statement made by V. Ginzburg and T. Schedler in [Selecta Math. (N.S.) 16 (2010), no. 4, 673-730]: "an adequate framework for doing noncom…
A projective resolution for the Fomin-Kirillov algebra
Estanislao Herscovich, Ziling Li
In this article we show that, given a quadratic algebra satisfying some assumptions, which we call having a resolving datum, one can construct a projective resolution of the trivia…
Gerstenhaber structure on Hochschild cohomology of the Fomin-Kirillov algebra on 3 generators
Estanislao Herscovich, Ziling Li
The goal of this article is to compute the Gerstenhaber bracket of the Hochschild cohomology of the Fomin-Kirillov algebra on three generators over a field of characteristic differ…
Hochschild and cyclic (co)homology of the Fomin-Kirillov algebra on 3 generators
Estanislao Herscovich, Ziling Li
The goal of this article is to explicitly compute the Hochschild (co)homology of the Fomin-Kirillov algebra on three generators over a field of characteristic different from 2 and…
Double quasi-Poisson algebras are pre-Calabi-Yau
David Fernández, Estanislao Herscovich
In this article we prove that double quasi-Poisson algebras, which are non-commutative analogues of quasi-Poisson manifolds, naturally give rise to pre-Calabi-Yau algebras. This ex…
Cyclic -algebras and double Poisson algebras
David Fernández, Estanislao Herscovich
In this article we prove that there exists an explicit bijection between nice -pre-Calabi-Yau algebras and -double Poisson differential graded algebras, where $d \in \mathbb{…