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

Alastair Hamilton

math.QAarXiv:math/0510390

Abstract

In this paper we will prove a super-analogue of a well-known result by Kontsevich which states that the homology of a certain complex which is 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.

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