Secondary Theories for etale groupoids

Secondary Theories for etale groupoids
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DOI:
10.1090/conm/571/11325
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发表时间:
2012-01
期刊:
arXiv: K-Theory and Homology
影响因子:
--
通讯作者:
Marcello Felisatti;F. Neumann
Marcello Felisatti;F. Neumann
中科院分区:
其他
文献类型:
--
作者:
Marcello Felisatti;F. Neumann

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推广卡鲁比的乘法 K 理论和光滑流形的乘法上同调群,我们定义了光滑 etale 群胚的二级理论和特征类。作为特殊情况,我们获得了平滑 etale groupoids 和 orbifolds 的差分字符组的版本。
Generalizing Karoubi's multiplicative K-theory and multiplicative cohomology groups for smooth manifolds we define secondary theories and characteristic classes for smooth etale groupoids. As special cases we obtain versions of the groups of differential characters for smooth etale groupoids and for orbifolds.