2 citations · 5 across the 6 of their papers we have counts for
6 papers
Noncommutative Poisson vertex algebras and Courant-Dorfman algebras
Luis Álvarez-Cónsul, David Fernández, Reimundo Heluani
We introduce the notion of double Courant-Dorfman algebra and prove that it satisfies the so-called Kontsevich-Rosenberg principle, that is, a double Courant-Dorfman algebra induce…
Euler continuants in noncommutative quasi-Poisson geometry
Maxime Fairon, David Fernández
It was established by Boalch that Euler continuants arise as Lie group valued moment maps for a class of wild character varieties described as moduli spaces of points on $\mathbb{P…
On the noncommutative Poisson geometry of certain wild character varieties
Maxime Fairon, David Fernández
To show that certain wild character varieties are multiplicative analogues of quiver varieties, Boalch introduced colored multiplicative quiver varieties. They form a class of (non…
The Kontsevich-Rosenberg principle for bi-symplectic forms
David Fernández
In this expository note, we explain the so-called Van den Bergh functor, which enables the formalization of the Kontsevich-Rosenberg principle, whereby a structure on an associativ…
Non-commutative Courant algebroids and Quiver algebras
Luis Álvarez-Cónsul, David Fernández
In this paper, we develop a differential-graded symplectic (Batalin-Vilkovisky) version of the framework of Crawley-Boevey, Etingof and Ginzburg on noncommutative differential geom…
Conformal polynomial parameterizations
David Pérez Fernández
The current paper discusses some new results about conformal polynomic surface parameterizations. A new theorem is proved: Given a conformal polynomic surface parameterization of a…