A super-analogue of kontsevich's theorem on graph homology

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In this Letter, we will prove a super-analogue of a well-known result by Kontsevich which states that the homology of a certain complex generated by isomorphism classes of oriented graphs can be calculated as the Lie algebra homology of an infinite-dimensional Lie algebra of symplectic vector fields.

Original languageEnglish
Pages (from-to)37-55
Number of pages19
JournalLetters in Mathematical Physics
Issue number1
StatePublished - Apr 2006


  • Graph
  • Homology
  • Invariant theory
  • Lie superalgebra
  • Moduli space


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