178 citations · 1k across the 56 of their papers we have counts for
7 papers · 1 filter
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…
Computation of cohomology of vertex algebras
Bojko Bakalov, Alberto De Sole, Victor G. Kac
We review cohomology theories corresponding to the chiral and classical operads. The first one is the cohomology theory of vertex algebras, while the second one is the classical co…
Poisson vertex algebra cohomology and differential Harrison cohomology
Bojko Bakalov, Alberto De Sole, Victor G. Kac +1
We construct a canonical map from the Poisson vertex algebra cohomology complex to the differential Harrison cohomology complex, which restricts to an isomorphism on the top degree…
Computation of cohomology of Lie conformal and Poisson vertex algebras
Bojko Bakalov, Alberto De Sole, Victor G. Kac
We develop methods for computation of Poisson vertex algebra cohomology. This cohomology is computed for the free bosonic and fermionic Poisson vertex (super)algebras, as well as f…
Chiral vs classical operad
Bojko Bakalov, Alberto De Sole, Reimundo Heluani +1
We establish an explicit isomorphism between the associated graded of the filtered chiral operad and the classical operad, which is useful for computing the cohomology of vertex al…
An operadic approach to vertex algebra and Poisson vertex algebra cohomology
Bojko Bakalov, Alberto De Sole, Reimundo Heluani +1
We translate the construction of the chiral operad by Beilinson and Drinfeld to the purely algebraic language of vertex algebras. Consequently, the general construction of a cohomo…