论文标题

Borel-Moore动机同源性的Pro-Chern-Schwarz-Macpherson课程

The pro-Chern-Schwarz-MacPherson class in Borel-Moore motivic homology

论文作者

Jin, Fangzhou, Sun, Peng, Yang, Enlin

论文摘要

我们表明,由Aluffi定义的Pro-Chern-Schwarz-Macpherson类的零维部分等于极限Borel-Moore动机同源性中的亲特性类别。类似的结构还可以在Borel-Moore Milnor-Witt同源性中产生该类别的二次改进。

We show that the zero-dimensional part of the pro-Chern-Schwarz-MacPherson class defined by Aluffi is equal to the pro-characteristic class in limit Borel-Moore motivic homology. A similar construction also produces a quadratic refinement of this class in the limit Borel-Moore Milnor-Witt homology.

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