实数的布雷顿动机同调

arXiv - MATH - K-Theory and Homology Pub Date : 2024-04-10 DOI:arxiv-2404.06697

Bill Deng, Mircea Voineagu

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引用次数: 0

摘要

在具有$\Z/2-$系数的实数上，我们计算了$C_2$-后变的玻雷尔动机同调环、玻雷顿动机同调群，并证明实数的玻雷顿动机同调环是apoint的$RO(C_2\times C_2)$-等级玻雷顿同调环的一个适当子环。这就把沃耶沃德斯基对实数的动机同调环的计算推广到了$C_2$-后变的环境中。这些计算随后扩展到任何实闭域。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Bredon motivic cohomology of the real numbers

Over the real numbers with $\Z/2-$coefficients, we compute the $C_2$-equivariant Borel motivic cohomology ring, the Bredon motivic cohomology groups and prove that the Bredon motivic cohomology ring of the real numbers is a proper subring in the $RO(C_2\times C_2)$-graded Bredon cohomology ring of a point. This generalizes Voevodsky's computation of the motivic cohomology ring of the real numbers to the $C_2$-equivariant setting. These computations are extended afterwards to any real closed field.

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arXiv - MATH - K-Theory and Homology

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