关于Bieberbach流形上的谱action
On spectral action over Bieberbach manifolds
摘要：
我们首先用两种不同的方法计算了可定向三维Bieberbach流形的谱作用量的首项：Poisson求和公式和微扰展开。假设截断函数不一定是对称的，我们发现微扰展开的标度不变部分可能与平坦三环面的谱作用相差η不变量。
英文摘要：
We compute the leading terms of the spectral action for orientable three dimensional Bieberbach manifolds first, using two different methods: the Poisson summation formula and the perturbative expansion. Assuming that the cut-off function is not necessarily symmetric we find that that the scale invariant part of the perturbative expansion might differ from the spectral action of the flat three-torus by the eta invariant.
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。
