47 citations · 165 across the 22 of their papers we have counts for
17 papers · 1 filter
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…
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…
The singular support of the Ising model
George E. Andrews, Jethro van Ekeren, Reimundo Heluani
We prove a new Fermionic quasiparticle sum expression for the character of the Ising model vertex algebra, related to the Jackson-Slater -series identity of Rogers-Ramanujan typ…
Chiral Homology of elliptic curves and the Zhu algebra
Jethro van Ekeren, Reimundo Heluani
We study the chiral homology of elliptic curves with coefficients in a quasiconformal vertex algebra. Our main result expresses the nodal curve limit of the first chiral homology g…