流形上微分形式的自由 Frobenius 代数
量子代数
2014-04-11 v3 代数拓扑
摘要
我们构造了 Frobenius properad 的自由分辨率在闭定向流形微分形式上的作用。作为推论，取值为半单李代数的流形微分形式具有由描述带模兼容性的李双代数的 properad 自由分辨率所给出的附加结构。
引用
@article{arxiv.0710.3550,
title = {Free frobenius algebra on the differential forms of a manifold},
author = {Scott O. Wilson},
journal= {arXiv preprint arXiv:0710.3550},
year = {2014}
}
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This paper has been withdrawn by the author.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