For the bicomplex structure of grading-restricted vertex algebra cohomology defined in \cite{Huang}, we show that the orthogonality and double grading conditions taken into account endow it with the structure of a bigraded differential algebra with respect to a natural multiplication. The generators and commutation relations of the bigraded differential algebra form a continual Lie algebra $\mathcal G(V)$ with the root space provided by a grading-restricted vertex algebra $V$. We prove that the differential algebra generates non-vanishing cohomological invariants associated to a vertex algebra $V$. Finaly, we provide examples associated to various choices of the vertex algebra bicomplex subspaces.Comment: arXiv admin note: substantial t...
The authors thank Dominic Joyce for many discussions and suggestions. They also thank Mikhail Kapran...
Using the Zhu algebra for a certain category of $\mathbb{C}$-graded vertex algebras $V$, we prove th...
In this article we construct a cochain complex of a complex Clifford algebra with coefficients in it...
Let V be a grading-restricted vertex algebra and W a V-module. We show that for any , the first coho...
summary:We define sewn elliptic cohomologies for vertex algebras by sewing procedure for coboundary ...
We review cohomology theories corresponding to the chiral and classical operads. The first one is th...
AbstractWe introduce the notion of vertex coalgebra, a generalization of vertex operator coalgebras....
We define the notions of unital/counital/biunital infinitesimal anti-symmetric bialgebras and coFrob...
We give two constructions of grading-restricted vertex (super)algebras. We first give a new construc...
We introduce a certain differential graded bialgebra, neither commutative nor cocommutative, that go...
We introduce the notion of double Courant-Dorfman algebra and prove that it satisfies the so-called ...
A mathematical definition of Cohomological Lagrangian Field Theories (CohLFTs) is formulated in the ...
AbstractWe construct projective covers of irreducible V-modules in the category of grading-restricte...
We show that the functor from curved differential graded algebras to differential graded categories,...
We introduce several definitions within the framework of vertex and conformal algebras which are ana...
The authors thank Dominic Joyce for many discussions and suggestions. They also thank Mikhail Kapran...
Using the Zhu algebra for a certain category of $\mathbb{C}$-graded vertex algebras $V$, we prove th...
In this article we construct a cochain complex of a complex Clifford algebra with coefficients in it...
Let V be a grading-restricted vertex algebra and W a V-module. We show that for any , the first coho...
summary:We define sewn elliptic cohomologies for vertex algebras by sewing procedure for coboundary ...
We review cohomology theories corresponding to the chiral and classical operads. The first one is th...
AbstractWe introduce the notion of vertex coalgebra, a generalization of vertex operator coalgebras....
We define the notions of unital/counital/biunital infinitesimal anti-symmetric bialgebras and coFrob...
We give two constructions of grading-restricted vertex (super)algebras. We first give a new construc...
We introduce a certain differential graded bialgebra, neither commutative nor cocommutative, that go...
We introduce the notion of double Courant-Dorfman algebra and prove that it satisfies the so-called ...
A mathematical definition of Cohomological Lagrangian Field Theories (CohLFTs) is formulated in the ...
AbstractWe construct projective covers of irreducible V-modules in the category of grading-restricte...
We show that the functor from curved differential graded algebras to differential graded categories,...
We introduce several definitions within the framework of vertex and conformal algebras which are ana...
The authors thank Dominic Joyce for many discussions and suggestions. They also thank Mikhail Kapran...
Using the Zhu algebra for a certain category of $\mathbb{C}$-graded vertex algebras $V$, we prove th...
In this article we construct a cochain complex of a complex Clifford algebra with coefficients in it...