On equivariant and motivic slices
On equivariant and motivic slices
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关于等变和动机切片
DOI：
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发表时间：
2018
影响因子：
0.7
通讯作者：
Drew Heard
中科院分区：
文献类型：
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作者：
Drew Heard
设$k$是一个域，它有一个真实的嵌入。本文比较了Spec（k）上动机谱的动机切片过滤与其等变Betti实现的C_2等变切片过滤，给出了实现导致相关切片塔之间等价的条件。特别是，我们表明，到重新索引，塔同意从本地化的$MGL$和$MR$，并为motivic Landweber确切的光谱和它们的实现获得的所有光谱。因此，我们推导出$MR$的定域子的等变谱在Hill-Meier意义下是偶的，并给出了对$1 \le n \le \infty$收敛到$\pi_{*，*}BP\langle n \rangle/2$的切片谱序列的计算.
Let $k$ be a field with a real embedding. We compare the motivic slice filtration of a motivic spectrum over $Spec(k)$ with the $C_2$-equivariant slice filtration of its equivariant Betti realization, giving conditions under which realization induces an equivalence between the associated slice towers. In particular, we show that, up to reindexing, the towers agree for all spectra obtained from localized quotients of $MGL$ and $MR$, and for motivic Landweber exact spectra and their realizations. As a consequence, we deduce that equivariant spectra obtained from localized quotients of $MR$ are even in the sense of Hill--Meier, and give a computation of the slice spectral sequence converging to $\pi_{*,*}BP\langle n \rangle/2$ for $1 \le n \le \infty$.
影响因子：
1.7
作者：
Guchuan Li;Xiaolin Shi;Guozhen Wang;Zhouli Xu
通讯作者：
Guchuan Li;Xiaolin Shi;Guozhen Wang;Zhouli Xu
实光谱的 Gorenstein 对偶性
DOI：
10.2140/agt.2017.17.3547
发表时间：
2017
期刊：
arXiv: Algebraic Topology
影响因子：
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作者：
Lennart Meier
通讯作者：
Lennart Meier