Periods and Motives in the Spectral Action of Robertson–Walker Spacetimes
Periods and Motives in the Spectral Action of Robertson–Walker Spacetimes
复制标题
罗伯逊-沃克时空光谱作用的周期和动机
DOI：
10.1007/s00220-017-2991-x
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发表时间：
2016
影响因子：
2.4
通讯作者：
M. Marcolli
中科院分区：
文献类型：
--
作者：
Farzad Fathizadeh;M. Marcolli
我们表明，当考虑的比例因子作为仿射变量，（欧几里德）罗伯逊-沃克时空的谱作用量的渐近展开的系数是混合泰特动机的时期，涉及相对动机的补的工会的超平面和二次超曲面和因子的工会的坐标超平面。
We show that, when considering the scaling factor as an affine variable, the coefficients of the asymptotic expansion of the spectral action on a (Euclidean) Robertson–Walker spacetime are periods of mixed Tate motives, involving relative motives of complements of unions of hyperplanes and quadric hypersurfaces and divisors given by unions of coordinate hyperplanes.