On operad structures of moduli spaces and string theory

Takashi Kimura, Jim Stasheff, Alexander A. Voronov

Research output: Contribution to journalArticlepeer-review

54 Scopus citations


We construct a real compactification of the moduli space of punctured rational algebraic curves and show how its geometry yields operads governing homotopy Lie algebras, gravity algebras and Batalin-Vilkovisky algebras. These algebras appeared recently in the context of string theory, and we give a simple deduction of these algebraic structures from the formal axioms of conformal field theory and string theory.

Original languageEnglish (US)
Pages (from-to)1-25
Number of pages25
JournalCommunications in Mathematical Physics
Issue number1
StatePublished - Jul 1995


Dive into the research topics of 'On operad structures of moduli spaces and string theory'. Together they form a unique fingerprint.

Cite this