论文标题

$ su(2)$的同事和$ k $ - 通勤元素空间的理论戒指

Cohomology and $K$-theory rings of the space of commuting elements in $SU(2)$

论文作者

Fok, Chi-Kwong

论文摘要

在本文中,我们通过$ k $(2)$(2)$的$ k $(2)$的$ k $ - $ k $ - $ k $ - $ k $ - 理论的$ k $ - 理论和整体共同体戒指进行了明确计算。在表示稳定性和FI模块的背景下,我们还简要讨论了复杂的和$ \ Mathbb {z} _2 $系数的不同行为。

In this paper, we compute explicitly both the $K$-theory and integral cohomology rings of the space of commuting elements in $SU(2)$ via the $K$-theory of its desingularization. We also briefly discuss the different behavior of its cohomology with complex and $\mathbb{Z}_2$ coefficients in the context of representation stability and FI-modules.

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