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arXiv 0710.3550math.QAmath.AT
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流形的differential forms上的自由Frobenius代数

Free frobenius algebra on the differential forms of a manifold

Scott O. Wilson

备注：
This paper has been withdrawn by the author. The definition given for the Frobenius properad is incorrect, i.e. what is stated is not a properad. For sign reasons following from the permutation group actions, in odd degree n, there should be no positive genus operations. The error in that definition invalidates the proof of the main claim in Theorem 4 (even for a proper definition of Frobenius properad). Theorem 8 is also affected similarly
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摘要：

我们构造了Frobenius proporad在闭定向流形的微分形式上的自由分解的作用。因此，半单李代数中的流形的形式具有由描述具有模相容性的李双代数的适当解的自由分解的作用所给出的附加结构。

英文摘要：

We construct an action of a free resolution of the Frobenius properad on the differential forms of a closed oriented manifold. As a consequence, the forms of a manifold with values in a semi-simple Lie algebra have an additional structure given by an action of a free resolution of the properad describing Lie di-algebras with module compatibility.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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