Homotopy Gerstenhaber structures and vertex algebras

I Gálvez, V Gorbunov, A Tonks

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We provide a simple construction of a G ¿8¿-algebra structure on an important class of vertex algebras V, which lifts the Gerstenhaber algebra structure on BRST cohomology of V introduced by Lian and Zuckerman. We outline two applications to algebraic topology: the construction of a sheaf of G ¿8¿ algebras on a Calabi–Yau manifold M, extending the operations of multiplication and bracket of functions and vector fields on M, and of a Lie¿8¿ structure related to the bracket of Courant (Trans Amer Math Soc 319:631–661, 1990).
Original languageEnglish
Pages (from-to)1-15
Number of pages15
JournalApplied Categorical Structures
Issue number1
Early online date22 Oct 2008
Publication statusPublished - Feb 2010


  • BRST complex
  • homotopy Gerstenhaber algebra
  • vertex algebra
  • Chiral de Rham complex


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