Japan. J. Math. 20, 113--167 (2025)

Conformal operads and the basic vertex algebra cohomology complex

Alberto De Sole, Reimundo Heluani, Victor G. Kac

Abstract: 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 constructions of the work of Tamarkin [Tam02].