Batalin-Vilkovisky algebras and two-dimensional topological field theories

E. Getzler*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

163 Scopus citations


By a Batalin-Vilkovisky algebra, we mean a graded commutative algebra A, together with an operator Δ:A→A⊙+1 such that Δ2 = 0, and [Δ, a]-Δa is a graded derivation of A for all a∈A. In this article, we show that there is a natural structure of a Batalin-Vilkovisky algebra on the cohomology of a topological conformal field theory in two dimensions. We make use of a technique from algebraic topology: the theory of operads.

Original languageEnglish (US)
Pages (from-to)265-285
Number of pages21
JournalCommunications in Mathematical Physics
Issue number2
StatePublished - Jan 1994

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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