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

Quantum Algebra 2009-11-11 v1 Geometric Topology

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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Cite

@article{arxiv.math/0510390,
  title  = {A super-analogue of Kontsevich's theorem on graph homology},
  author = {Alastair Hamilton},
  journal= {arXiv preprint arXiv:math/0510390},
  year   = {2009}
}

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15 pages