47 citations · 165 across the 22 of their papers we have counts for
25 papers
Chiral homology of the projective line and extensions of vertex algebra modules
Thadeu Henrique Cardoso, Jethro van Ekeren, Juan Guzman +1
The purpose of this note is to establish an isomorphism from the vector space of extensions between two modules over a vertex algebra, to an appropriate first chiral homology of on…
Conformal operads and the basic vertex algebra cohomology complex
Alberto De Sole, Reimundo Heluani, Victor Kac
We develop the notion of a (pro-) conformal pseudo operad and apply it to the construction of the basic cohomology complex of a vertex algebra. The paper heavily uses the ideas and…
A Hodge filtration on chiral homology and Poisson homology of associated schemes
Jethro van Ekeren, Reimundo Heluani
We introduce filtrations in chiral homology complexes of smooth elliptic curves, exploiting the mixed Hodge structure on cohomology groups of configuration spaces. We use these to…
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…
The First Chiral Homology Group
Jethro van Ekeren, Reimundo Heluani
We study the first chiral homology group of elliptic curves with coefficients in vacuum insertions of a conformal vertex algebra V. We find finiteness conditions on V guaranteeing…
Classical and variational Poisson cohomology
Bojko Bakalov, Alberto De Sole, Reimundo Heluani +2
We prove that, for a Poisson vertex algebra V, the canonical injective homomorphism of the variational cohomology of V to its classical cohomology is an isomorphism, provided that…