A Super-Analogue of Kontsevich’s Theorem on Graph Homology

A Super-Analogue of Kontsevich’s Theorem on Graph Homology
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康采维奇图同调定理的超级模拟

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发表时间:
2005
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通讯作者:
A. Hamilton
A. Hamilton
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作者:
A. Hamilton

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在这封信中,我们将证明一个著名的结果Kontsevich的超模拟,该结果指出,同构类的定向图产生的某些复杂的同源性可以计算为李代数的同源性的无限维李代数的辛向量场。
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.