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

Mathematics – Quantum Algebra

Scientific paper

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15 pages

Scientific paper

10.1007/s11005-006-0059-5

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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